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The Extended Fisher-Hartwig Conjecture for Symbols with Multiple Jump Discontinuities

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Part of the book series: Operator Theory Advances and Applications ((OT,volume 71))

Abstract

The asymptotic expansions of Toeplitz determinants of certain symbols with multiple jump discontinuities are shown to satisfy a revised version of the conjecture of Fisher and Hartwig.

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References

  1. E. L. Basor. A localization theorm for Toeplitz determinants. Indiana Math. J., 28:975–983, 1979.

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  2. E. L. Basor and K. E. Morrison. The Fisher-Hartwig conjecture and Toeplitz eigenvalues. Linear Algebra and Its Applications, 1993.

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  3. E. L. Basor and C. A. Tracy. The Fisher-Hartwig conjecture and generalizations. Phys. A, 177:167–173, 1991.

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  4. E. L. Basor and H. Widom. Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols. J. Functional Analysis, 50:387–413, 1983.

    Article  MathSciNet  MATH  Google Scholar 

  5. 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.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Böttcher and B. Silbermann. Toeplitz operators and determinants generated by symbols with one Fisher-Hartwig singularity. Math. Nachr., 127:95–124, 1986.

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  7. A. Bottcher and B. Silbermann. Analysis of Toeplitz Operators. Springer-Verlag, Berlin, 1990.

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  8. M. E. Fisher and R. E. Hartwig. Toeplitz determinants, some applications, theorems and conjectures. Adv. Chem. Phys., 15:333–353, 1968.

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  9. H. Widom. Toeplitz determinants with singular generating functions. Amer. J. Math., 95:333–383, 1973.

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E. L. Basor I. Gohberg

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Dedicated to Harold Widom on his sixtieth birthday

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© 1994 Birkhäuser Verlag

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Basor, E.L., Morrison, K.E. (1994). The Extended Fisher-Hartwig Conjecture for Symbols with Multiple Jump Discontinuities. In: Basor, E.L., Gohberg, I. (eds) Toeplitz Operators and Related Topics. Operator Theory Advances and Applications, vol 71. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8543-0_3

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  • DOI: https://doi.org/10.1007/978-3-0348-8543-0_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9672-6

  • Online ISBN: 978-3-0348-8543-0

  • eBook Packages: Springer Book Archive

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