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Publications of Bernd Silbermann

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Toeplitz Matrices and Singular Integral Equations

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 135))

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Publications of Bernd Silbermann

Dissertation

  • B. Silbermann, Einige Fragen zur Theorie singulärer Integraloperatoren nicht normalen Typs. TU Chemitz, 22 December 1970.

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Habilitation

  • B. Silbermann, Singuläre Integraloperatoren vom nicht normalen Typ mit unstetigen Koeffizienten. TU Chemitz, 12 July 1974.

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Books

  1. S. Prössdorf and B. Silbermann, Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen. Teubner-Texte zur Mathematik, Teubner, Leipzig 1977.

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  2. A. Böttcher and B. Silbermann, Invertibility and Asymptotics of Toeplitz Matrices. Mathematical Research, Vol. 17, Akademie-Verlag, Berlin 1983.

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  3. A. Böttcher and B. Silbermann, Analysis of Toeplitz Operators. Akademie-Verlag, Berlin 1989 and Springer-Verlag, Berlin, Heidelberg, New York 1990.

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  4. S. Prössdorf and B. Silbermann, Numerical Analysis for Integral and Related Operator Equations. Akademie-Verlag, Berlin 1991 and Operator Theory: Advances and Applications, Vol. 52, Birkhäuser Verlag, Basel 1991.

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  5. R. Hagen, S. Roch and B. Silbermann, Spectral Theory of Approxima-tion Methods for Convolution Equations. Operator Theory: Advances and Applications, Vol. 74, Birkhäuser Verlag, Basel 1995.

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  6. A. Böttcher and B. Silbermann, Introduction to Large Truncated Toep-litz Matrices. Vniversitext, Springer-Verlag, New York 1999.

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  7. R. Hagen, S. Roch and B. Silbermann, C*-Algebras and Numerical Analysis. Monographs and Textbooks in Pure and Applied Mathematics, Vol. 236, Marcel Dekker, New York 2001.

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Papers

  1. B. Silbermann, Über eine Klasse von singulären Integralgleichungen, deren Symbol nicht mehr als eine endliche Anzahl von Nullstellen ganzzahliger und gebrochener Ordnung aufweist. Math. Nachr. 47, 245–260 (1970).

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  2. B. Silbermann, On singular integral operators in spaces of infinitely differentiable and generalized functions. (Russian) Matern. Issled. 6, 168–179 (1971).

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  3. B. Silbermann, Über einen Zugang zu einer Klasse eindimensionaler singulärer Integraloperatoren nicht normalen Typs. Wiss. Z. TH Karl-Marx Stadt 13, 135–142 (1971).

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  4. B. Silbermann, Über eine Klasse einseitig invertierbarer singulärer Integraloperatoren nicht normalen Typs in gewissen Paaren von Banach-Räumen I. Math. Nachr. 51, 327–342 (1971).

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  5. B. Silbermann, Über eine Klasse einseitig invertierbarer singulärer Integraloperatoren nicht normalen Typs in gewissen Paaren von Banach-Räumen II. Math. Nachr. 52, 297–313 (1972).

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  6. S. Prössdorf and B. Silbermann, über die normale Auflösbarkeit des singulären Integraloperators vom nicht normalen Typ. Math. Nachr. 55, 73–88 (1973).

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  7. S. Prössdorf and B. Silbermann, Über die normale Auflösbarkeit von Systemen singulärer Integralgleichungen vom nicht normalen Typ. Math. Nachr. 56, 131–144 (1973).

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  8. U. Köhler and B. Silbermann, Einige Ergebnisse über Φ +.-Operatoren in lokalkonvexen, topologischen Vektorräumen. Math. Nachr. 56, 145–153 (1973).

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  9. U. Köhler and B. Silbermann, Über algebraische Eigenschaften einer Klasse von Operatorenmatrizen und eine Anwendung auf singuläre Integraloperatoren. Math. Nachr. 57, 245–258 (1973).

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  10. B. Silbermann, Zur Theorie eindimensionaler singulärer Integraloperatoren nicht normalen Typs mit stückweise stetigen Koeffizienten. Math. Nachr. 57, 371–384 (1973).

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  11. B. Silbermann, Über paarige Operatoren nicht normalen Typs. Math. Nachr. 60, 79–95 (1974).

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  12. B. Silbermann, Über die einseitige Invertierbarkeit gewisser Klassen paariger Operatoren nicht normalen Typs. Wiss. Z. TH Karl-Marx-Stadt 16, 277–381 (1974).

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  13. S. Prössdorf and B. Silbermann, Ein Projektionsverfahren zur Lösung singulärer Gleichungen vom nicht normalen Typ. Wiss. Z. TH Karl-Marx Stadt 16, 367–376 (1974).

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  14. S. Prössdorf and B. Silbermann, Ein Projektionsverfahren zur Lösung abstrakter singulärer Gleichungen vom nicht normalen Typ und einige seiner Anwendungen. Math. Nachr. 61, 133–155 (1974).

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  15. B. Silbermann, Ein Projektionsverfahren für schwach ausgeartete singuläre Integralgleichungen. Z. Angew. Math. Mech. 55, 525–527 (1975).

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  16. S. Prössdorf and B. Silbermann, Verallgemeinerte Projektionsverfahren zur Lösung singulärer Gleichungen vom nicht normalen Typ. Math. Nachr. 68, 7–28 (1975).

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  17. B. Silbermann, Über eine Klasse singulärer Integraloperatoren nicht normalen Typs mit stückweise stetigen Koeffizienten. In: 5. Tagung über Probleme und Methoden der Mathematischen Physik (TH Karl-Marx-Stadt, 1975), pp. 305–308, TH Karl-Marx-Stadt 1975.

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  18. S. Prössdorf and B. Silbermann, The convergence of the reduction and the collocation methods for systems of singular integral equations. (Russian) Dokl. Akad. Nauk SSSR 226, 516–519 (1976).

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  19. B. Silbermann, Ein Projektionsverfahren für einen diskreten Wiener-Hopf-schen Operator, dessen Koeffizientensymbole Nullstellen nicht ganzzahliger Ordnung besitzen. Math. Nachr. 74, 191–199 (1976).

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  20. S. Prössdorf and B. Silbermann, General theorems on the convergence of projection methods for operator equations in Banach spaces. (Russian) Dokl. Akad. Nauk SSSR 230, 527–529 (1976).

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  21. S. Prössdorf and B. Silbermann, Einige allgemeine Sätze zur Theorie der Projektionsverfahren für lineare Operatorgleichungen in Banachräumen. Math. Nachr. 75, 61–72 (1976).

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  22. S. Prössdorf and B. Silbermann, Projektionsverfahren zur Lösung von Systemen singulärer Gleichungen vom nicht normalen Typ. Rev. Roumaine Math. Pures Appl. 22, 965–991 (1977).

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  23. CH. Meyer and B. Silbermann, Die Indexformel für eine Klasse von ausgearteten singulären Integraloperatoren mit Carlemanscher Verschiebung. Demonstratio Math. 10, 155–167 (1977).

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  24. S. Prössdorf and B. Silbermann, Gestörte Projektionsverfahren und einige ihrer Anwendungen. In: Theory of Nonlinear Operators (Berlin, 1977), pp. 229–237, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., No. 6, Akademie-Verlag, Berlin 1978.

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  25. B. Silbermann, Zur Berechnung von Toeplitz-Determinanten, die durch eine Klasse im wesentlichen beschränkter Funktionen erzeugt werden. Wiss. Z. TH Karl-Marx-Stadt 20, 683–687 (1978).

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  26. K. Rost and B. Silbermann, Das Reduktionsverfahren für eine Klasse ausgearteter Integrodifferenzengleichungen. Wiss. Z. TH Karl-Marx-Stadt 20, 689–691 (1978).

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  27. J. Elschner and B. Silbermann, Eine Klasse entarteter gewöhnlicher Differentialgleichungen und das Kollokationsverfahren zu ihrer Lösung. Czechoslovak Math. J. 29, 551–563 (1979).

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  28. B. Silbermann, Some remarks on the asymptotic behavior of Toeplitz determinants. Applicable Anal. 11, 185–197 (1980).

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  29. A. Böttcher and B. Silbermann, Notes on the asymptotic behavior of block Toeplitz matrices and determinants. Math. Nachr. 98, 183–210 (1980).

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  30. A. Böttcher and B. Silbermann, The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders. Math. Nachr. 102, 79–105 (1981).

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  31. P. Junghanns and B. Silbermann, Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen. Math. Nachr. 103, 199–244 (1981).

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  32. B. Silbermann, Ausgeartete paarige Integrodifferenzengleichungen und ein Projektionsverfahren zu ihrer Lösung. Wiss. Z. TH Karl-Marx-Stadt 23, 465–470 (1981).

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  33. B. Silbermann, Das asymptotische Verhalten von Toeplitzdeterminanten für einige Klassen von Erzeugerfunktionen. In: Nonlinear Analysis (Berlin, 1979), pp. 267–272, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., 1981, No. 2, Akademie-Verlag, Berlin 1981.

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  34. B. Silbermann, The strong Szegölimit theorem for a class of singular generating functions I. Demonstratio Math. 14, 647–667 (1981).

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  35. B. Silbermann, Lokale Theorie des Reduktionsverfahrens für Toeplitzoper-atoren. Math. Nachr. 104, 137–146 (1981).

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  36. A. Böttcher and B. Silbermann, Über das Reduktionsverfahren für diskrete Wiener-Hopf-Gleichungen mit unstetigem Symbol. Z. Anal. Anwendungen 1:2, 1–5 (1982).

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  37. S. Roch and B. Silbermann, Das Reduktionsverfahren für Potenzen von Toeplitzoperatoren mit unstetigem Symbol. Wiss. Z. TH Karl-Marx-Stadt 24, 289–294 (1982).

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  38. B. Silbermann, Lokale Theorie des Reduktionsverfahrens für singuläre Integralgleichungen. Z. Anal. Anwendungen 1:6, 45–56 (1982).

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  39. B. Silbermann, Notes on the asymptotic behavior of Toeplitz matrices and determinants. In: Functions, Series, Operators, Vols. I, II (Budapest, 1980), pp. 1063–1073, Colloq. Math. Soc. János Bolyai, 35, North-Holland, Amsterdam 1983.

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  40. A. Böttcher and B. Silbermann, The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols. Math. Nachr. 110, 279–291 (1983).

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  41. A. Böttcher and B. Silbermann, Wiener-Hopf determinants with symbols having zeros of analytic type. In: Seminar Analysis 1982/83, pp. 224–243, Akad. Wiss. DDR, Berlin 1983.

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  42. A. Böttcher and B. Silbermann, Toeplitz determinants generated by symbols with one singularity of Fisher-Hartwig type. Wiss. Z. TH Karl-Marx-Stadt 26, 186–188 (1984).

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  43. P. Junghanns and B. Silbermann, Numerical analysis for one-dimensional Cauchy-type singular integral equations. In: Problems and Methods of Mathematical Physics (Karl-Marx-Stadt, 1983), pp. 122–129, Teubner-Texte Math., 63, Teubner, Leipzig 1984.

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  44. P. Junghanns and B. Silbermann, Local theory of the collocation method for the approximate solution of singular integral equations I. Integral Equations Operator Theory 7, 791–807 (1984).

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  45. G. Heinig and B. Silbermann, Factorization of matrix functions in algebras of bounded functions. In: Spectral Theory of Linear Operators and Related Topics (Timişoara/Herculane, 1983), pp. 157–177, Oper. Theory Adv. Appl., 14, Birkhäuser, Basel 1984.

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  46. A. Böttcher and B. Silbermann, Toeplitz determinants with symbols from the Fisher-Hartwig class. (Russian) Dokl. Akad. Nauk SSSR 278, 13–16 (1984).

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  47. B. Silbermann, Harmonic approximation of Toeplitz operators and index formulas. Integral Equations Operator Theory 8, 842–853 (1985).

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  48. R. Hagen and B. Silbermann, A finite element collocation method for bisingular integral equations. Applicable Anal. 19, 117–135 (1985).

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  49. S. Roch and B. Silbermann, Toeplitz-like operators, quasicommutator ideals, numerical analysis I. Math. Nachr. 120, 141–173 (1985).

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  50. A. Böttcher and B. Silbermann, Toeplitz matrices and determinants with Fisher-Hartwig symbols. J. Funct. Anal. 63, 178–214 (1985).

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  51. A. Böttcher, S. Roch and B. Silbermann, Local constructions and Banach algebras associated with Toeplitz operators on H. p. In: Seminar Analysis 1985/86, pp. 23–30, Akad. Wiss. DDR, Berlin 1986.

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  52. B. Silbermann, Numerical analysis for Wiener-Hopf integral equations in spaces of measurable functions. In: Seminar Analysis 1985/86, pp. 187–203, Akad. Wiss. DDR, Berlin 1986.

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  53. B. Silbermann, Asymptotics for Toeplitz operators with piecewise quasicon-tinuous symbols and related questions. Math. Nachr. 125, 179–190 (1986).

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  54. B. Silbermann, Local objects in the theory of Toeplitz operators. Integral Equations Operator Theory 9, 706–738 (1986).

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  55. A. Böttcher and B. Silbermann, Toeplitz operators and determinants generated by symbols with one Fisher-Hartwig singularity. Math. Nachr. 127, 95–123 (1986).

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  56. A. Böttcher and B. Silbermann, Local spectra of approximate identities, cluster sets, and Toeplitz operators. Wiss. Z. TH Karl-Marx-Stadt 28, 175–180 (1986).

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  57. R. Hagen and B. Silbermann, Local theory of the collocation method for the approximate solution of singular integral equations IL. In: Seminar analysis 1986/87, pp. 41–56, Akad. Wiss. DDR, Berlin 1987.

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  58. S. Roch and B. Silbermann, Finite sections of singular integral operators with Carleman shift. In: Seminar Analysis 1986/87, pp. 149–180, Akad. Wiss. DDR, Berlin 1987.

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  59. B. Silbermann, The C*-algebra generated by Toeplitz and Hankel operators with piecewise quasicontinuous symbols. Integral Equations Operator Theory 10, 730–738 (1987).

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  60. S. Roch and B. Silbermann, Toeplüz-like operators, quasicommutator ideals, numerical analysis II. Math. Nachr. 134, 245–255 (1987).

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  61. A. Böttcher and B. Silbermann, Toeplitz operators in l p. spaces, with symbols from C +. H∞. (Russian) Zap. Nauchn. Sem. LOMI 157, 124–128 (1987); Engl. transl. in J. Soviet Math. 44, 834-836 (1989).

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  62. R. Hagen and B. Silbermann, On the stability of the qualocation method. In: Seminar Analysis 1987/88, pp. 43–52, Akademie-Verlag, Berlin 1988.

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  63. P. Junghanns and B. Silbermann, Numerical analysis of the quadrature method for solving linear and nonlinear singular integral equations. Wissensch. Schriftenreihe der TU Karl-Marx-Stadt 10/1988 (1988).

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  64. S. Roch and B. Silbermann, Algebras generated by idempotents and the symbol calculus for singular integral operators. Integral Equations Operator Theory 11, 385–419 (1988).

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  65. S. Roch and B. Silbermann, A symbol calculus for finite sections of singular integral operators with shift and piecewise continuous coefficients. J. Funct. Anal. 78, 365–389 (1988).

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  66. A. Böttcher, N. Krupnik and B. Silbermann, A general look at local principles with special emphasis on the norm computation aspect. Integral Equations Operator Theory 11, 455–479 (1988).

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  67. H. Schulze and B. Silbermann, One-dimensional singular integral operators on Hölder-Zygmund spaces. In: Seminar Analysis 1988/89, pp. 129–139, Akad. Wiss. DDR, Berlin 1989.

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  68. B. Silbermann, Approximation of solutions of periodic pseudodifferential equations and optimal error estimates. In: Seminar Analysis 1988/89, pp. 141–152, Akad. Wiss. DDR, Berlin 1989.

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  69. S. Roch and B. Silbermann, A symbol calculus for the algebra generated by shift operators. Z. Anal. Anwendungen 8: 4, 293–306 (1989).

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  70. A. Böttcher and B. Silbermann, Asymptotics of Toeplitz and Wiener Hopf operators. In: Proc. 9th Conf. on Problems and Methods in Math. Physics (Karl-Marx-Stadt, 1988), pp. 27–35, Teubner-Texte Math., 111, Teubner, Leipzig 1989.

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  71. S. Roch and B. Silbermann, The Calkin image of algebras of singular integral operators. Integral Equations Operator Theory 12, 855–897 (1989).

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  72. S. Roch and B. Silbermann, Nonstrongly converging approximation methods. Demonstratio Math. 22, 651–676 (1989).

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  73. R. Hagen and B. Silbermann, A Banach algebra approach to the stability of projection methods for singular integral equations. Math. Nachr. 140, 285–297 (1989).

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  74. N. Krupnik and B. Silbermann, The structure of some Banach algebras fulfilling a standard identity. Math. Nachr. 142, 175–180 (1989).

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  75. A. Böttcher, B. Silbermann and I. Spitkovsky, Toeplitz operators with piecewise quasisectorial symbols. Bull. London Math. Soc. 22, 281–286 (1990).

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  76. S. Roch and B. Silbermann, On algebras with standard identities. Linear Algebra Appl. 137/ 138, 239–247 (1990).

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  77. S. Roch and B. Silbermann, Algebras of convolution operators and their image in the Calkin algebra. Report MATH 90-05, 160 pages, Akad. Wiss. DDR, Karl-Weierstrass-Institut f. Mathematik, Berlin 1990.

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  78. B. Silbermann, Symbol construction and numerical analysis. In: Integral Equations and Inverse Problems (Varna, 1989), pp. 241–252, Pitman Res. Notes Math. Ser., 235, Longman Sci. Tech., Harlow 1991.

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  79. A. Böttcher, S. Roch, B. Silbermann and I. Spitkovsky, A Gohberg Krupnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy, and Carleman operators. In: Topics in Operator Theory: Ernst D. Hellinger Memorial Volume, pp. 189–234, Oper. Theory Adv. Appl., 48, Birkhäuser, Basel 1990.

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  80. S. Roch and B. Silbermann, Representations of noncommutative Banach algebras by continuous functions. Algebra i Analiz 3, 171–185 (1991) and St. Petersburg Math. J. 3, 865-879 (1992).

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  81. D. Berthold, W. HOPPE and B. Silbermann, The numerical solution of the generalized airfoil equation. J. Integral Equations Appl. 4, 309–336 (1992).

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  82. S. Roch and B. Silbermann, The structure of algebras of singular integral operators. J. Integral Equations Appl. 4, 421–442 (1992).

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  83. D. Berthold, W. HOPPE and B. Silbermann, A fast algorithm for solving the generalized airfoil equation. In: Orthogonal Polynomials and Numerical Methods, J. Comput. Appl. Math. 43, 185–219 (1992).

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  84. V.D. Dldenko and B. Silbermann, Symbols of some operator sequences and quadrature methods for solving singular integral equations with conjugation. (Russian) Funktsional. Anal. i Prilozhen. 26, 67–70 (1992); English transl. in Funct. Anal. Appl. 26, 285-287 (1992).

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  85. B. Silbermann, Asymptotische Invertierung von Faltungsoperatoren. In: Jahrbuch überblicke Mathematik, 1993, pp. 73–95, Vieweg, Braunschweig 1993.

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  86. B. Silbermann, On the limiting set of singular values of Toeplitz matrices. Linear Algebra Appl. 182, 35–43 (1993).

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  87. V.D. Dldenko and B. Silbermann, On the stability of some operator sequences and the approximate solution of singular integral equations with conjugation. Integral Equations Operator Theory 16, 224–243 (1993).

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  88. T. Finck, S. Roch and B. Silbermann, TWO projection theorems and symbol calculus for operators with massive local spectra. Math. Nachr. 162, 167–185 (1993).

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  89. A. Böttcher and B. Silbermann, Operator-valued Szegö-Widom limit theorems. In: Toeplitz Operators and Related Topics (Santa Cruz, CA, 1992), pp. 33–53, Oper. Theory Adv. Appl., 71, Birkhäuser, Basel 1994.

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  90. A. Böttcher, Yu.I. Karlovich and B. Silbermann, Singular integral equations with PQC coefficients and freely transformed argument. Math. Nachr. 166, 113–133 (1994).

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  91. R. Hagen, S. Roch and B. Silbermann, Stability of spline approximation methods for multidimensional pseudodifferential operators. Integral Equations Operator Theory 19, 25–64 (1994).

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  92. H. Bart, T. Ehrhardt and B. Silbermann, Zero sums of idempotents in Banach algebras. Integral Equations Operator Theory 19, 125–134 (1994).

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  93. H. Bart, T. Ehrhardt and B. Silbermann, Logarithmic residues in Banach algebras. Integral Equations Operator Theory 19, 135–152 (1994).

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  94. A. Böttcher, B. Silbermann and H. Widom, A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols. J. Funct. Anal. 122, 222–246 (1994).

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  95. A. Böttcher, B. Silbermann and H. Widom, Determinants of truncated Wiener-Hopf operators with Hubert-Schmidt kernels and piecewise continuous symbols. Arch. Math. (Basel) 63, 60–71 (1994).

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  96. S. Roch and B. Silbermann, Limiting sets of eigenvalues and singular values of Toeplitz matrices. Asymptotic Anal. 8, 293–309 (1994).

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  97. D. Berthold and B. Silbermann, Corrected collocation methods for periodic pseudodifferential equations. Numer. Math. 70, 397–425 (1995).

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  98. V.D. Didenko, S. Roch and B. Silbermann, Approximation methods for singular integral equations with conjugation on curves with corners. SIAM J. Numer. Anal. 32, 1910–1939 (1995).

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  99. B. Silbermann, Toeplitz-like operators and their finite sections. In: Recent Developments in Operator Theory and Its Applications (Winnipeg, MB, 1994), pp. 386–398, Oper. Theory Adv. Appl., 87, Birkhäuser, Basel 1996.

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  100. A. Böttcher, I. Gohberg, Yu.I. Karlovich, N. Krupnik, S. Roch, B. Silbermann and I. Spitkovsky, Banach algebras generated by N idempotents and applications. In: Singular Integral Operators and Related Topics (Tel Aviv, 1995), pp. 19–54, Oper. Theory Adv. Appl., 90, Birkhäuser, Basel 1996.

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  101. T. Ehrhardt, S. Roch and B. Silbermann, Symbol calculus for singular integrals with operator-valued PQC-coefficients. In: Singular Integral Operators and Related Topics (Tel Aviv, 1995), pp. 182–203, Oper. Theory Adv. Appl., 90, Birkhäuser, Basel 1996.

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  102. T. Ehrhardt, S. Roch and B. Silbermann, Finite section method for singular integrals with operator-valued PQC-coefficients. In: Singular Integral Operators and Related Topics (Tel Aviv, 1995), pp. 204–243, Oper. Theory Adv. Appl., 90, Birkhäuser, Basel 1996.

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  103. B. Silbermann, Asymptotic invertibility of Toeplitz operators. In: Singular Integral Operators and Related Topics (Tel Aviv, 1995), pp. 295–303, Oper. Theory Adv. Appl., 90, Birkhäuser, Basel 1996.

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  104. A. Böttcher and B. Silbermann, Infinite Toeplitz and Hankel matrices with operator-valued entries. SIAM J. Math. Anal. 27, 805–822 (1996).

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  105. N. Krupnik, S. Roch and B. Silbermann, On C*-algebras generated by idempotents. J. Funct. Anal. 137, 303–319 (1996).

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  106. S. Roch and B. Silbermann, Asymptotic Moore-Penrose invertibility of singular integral operators. Integral Equations Operator Theory 26, 81–101 (1996).

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  125. T. Finck, S. Roch and B. Silbermann, Banach algebras generated by two idempotents and one flip. Math. Nachr. 216, 73–94 (2000).

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  127. R. Duduchava and B. Silbermann, Boundary value problems in domains with peaks. Mem. Differential Equations Math. Phys. 21, 1–122 (2000).

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  128. P. Junghanns and B. Silbermann, Numerical analysis for one-dimensional Cauchy singular integral equations. J. Comput. Appl. Math. 125, 395–421 (2000).

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Dissertations directed by Bernd Silbermann

  1. Christian MeyerÜ einige Klassen von singulä Operatoren und ihre Beziehungen zu singularen Integralgleichungen. TU Chemnitz, 1 July 1975.

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  2. Johannes Steinmüller, Ein Projektionsverfahren zur Lösung einer Klasse singulären Integralgleichungen, deren Symbol Nullstellen nichtganzzahliger Ordnung besitzt. TU Chemnitz, 1 February 1978.

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  3. Karla Rost, Invertierung einiger Klassen von Matrizen im Zusammenhang mit der näherungsweisen Lösung von Operatorgleichungen. This dissertation was supervised by both Bernd Silbermann and Georg Heinig. TU Chemnitz, 5 July 1981.

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  4. Peter Junghanns, Polynamiale Näherungsverfahren fü singuläre Integralgleichungen auf beschränkten Intervallen. TU Chemnitz, 24 February 1984.

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  5. Steffen Roch, Lokale Theorie des Reduktionsverfahrens für singuläre Integraloperatoren mit Carlemanschen Verschiebungen. TU Chemnitz, 1 July 1988.

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  6. Wolfram Hoppe, Stabilität von Splneapproximationsverfahren für singuläre Integralgleichungen auf kompakten, glatten Mannigfaltigkeiten ohne Rand. TU Chemnitz, 28 February 1994.

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  7. Torsten Ehrhardt, Toeplitz determinants with several Fisher-Hartwig singularities. TU Chemnitz, 29 September 1997.

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  8. Pedro Alexander Simões dos Santos, Approximation methods for convolution operators on the real line. TU Chemnitz, 22 May 1998.

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  9. Tilo Finck, Splineapproximationsverfahren für singuläre Integralgleichungen auf ebenen, glattberandeten Gebieten. TU Chemnitz, 18 December 1998.

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  10. Marko Lindner, Approximation methods and stability for multidimensional integral operators on spaces of essentially bounded functions. TU Chemnitz, 2002.

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Authors and Affiliations

  1. Faculty of Mathematics, Technical University Chemnitz, 09107, Chemnitz, Germany

    Albrecht Böttcher & Peter Junghanns

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

Authors
  1. Albrecht Böttcher
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  2. Israel Gohberg
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  3. Peter Junghanns
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  1. Faculty of Mathematics, Technical University Chemnitz, 09107, Chemnitz, Germany

    Albrecht Böttcher  & Peter Junghanns  & 

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

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Böttcher, A., Gohberg, I., Junghanns, P. (2002). Publications of Bernd Silbermann. In: Böttcher, A., Gohberg, I., Junghanns, P. (eds) Toeplitz Matrices and Singular Integral Equations. Operator Theory: Advances and Applications, vol 135. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8199-9_2

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  • DOI: https://doi.org/10.1007/978-3-0348-8199-9_2

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  • Print ISBN: 978-3-0348-9471-5

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