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On the construction of a class of bergman kernels for partial differential equations

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References

  1. ?. Azzam and?. Kreyszig, On Bergman operators of exponential type. Ann. Polon. Math.39, in press.

  2. K. W. Bauer, Differentialoperatoren bei partiellen Differentialgleichungen. Ges. Math. Datenverarb. Ber.77, 7 - 17 (1973).

    Google Scholar 

  3. K. W. Bauer undH. Florian, Bergman-Operatoren mit Polynomerzeugenden. In — (see below), pp. 85–93.

    Google Scholar 

  4. S. Bergman, On the coefficient problem in the theory of a system of linear partial differential equations. J. Analyse Math.10, 249–274 (1963).

    Article  MathSciNet  Google Scholar 

  5. S. Bergman, Integral Operators in the Theory of Linear Partial Differential Equations. 3rd rev. print. Ergebn. Math. Grenzgeb.23. Springer, Berlin 1971.

    MATH  Google Scholar 

  6. R. P. Gilbert, Function Theoretic Methods in Partial Differential Equations. Academic Press, New York 1969.

    MATH  Google Scholar 

  7. R. P. Gilbert andR. J. Weinacht (Eds.), Function Theoretic Methods in Differential Equations. Pitman, London 1976.

    MATH  Google Scholar 

  8. R. P. Gilbert andW. L. Wendland, Analytic, generalized, hyperanalytic function theory and an application to elasticity. Manuscript.

  9. M. Kracht undE. Kreyszig, Zur Konstruktion gewisser Integraloperatoren für partielle Differentialgleichungen. Teil I. Teil II. Manuscripta math.17, 79–103, 171–186 (1975).

    MathSciNet  MATH  Google Scholar 

  10. M. Kracht undG. Schröder, Bergmansche Polynom-Erzeugende erster Art. Manuscripta math.9, 333–355 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  11. ?. Kreyszig, On Bergman operators for partial differential equations in two variables. Pacific J. Math.36, 201–208 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  12. ?. Kreyszig, Representations of solutions of certain partial differential equations related to Liouville’s equation. Abh. Math. Sem. Univ. Hamburg44, 32–44 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  13. V. E. Meister,N. Weck andW. L. Wendland (Eds.), Function Theoretic Methods for Partial Differential Equations. Lecture Notes in Math. 561. Springer, Berlin 1976.

    MATH  Google Scholar 

  14. R. v. Mises, Mathematical Theory of Compressible Fluid Flow. Academic Press, New York 1958.

    MATH  Google Scholar 

  15. J. Mitchell, Approximation to the solutions of linear partial differential equations given by Bergman integral operators. Ges. Math. Datenverarb. Ber.77, 97–107 (1973).

    Google Scholar 

  16. P. F. Neményi, Recent developments in inverse and semi-inverse methods in the mechanics of continua. Adv. Appl. Mech.2, 123–151 (1951).

    Article  Google Scholar 

  17. S. Ruscheweyh, Geometrische Eigenschaften der Lösungen der Differentialgleichung\((1 - z\overline z )^2 w_{z\overline z } - n(n + 1)w = O.J.\) reine angew. Math.270, 143–157 (1974).

    MathSciNet  MATH  Google Scholar 

  18. I. N. Vekua, New Methods for Solving Elliptic Equations. Wiley, New York 1967.

    MATH  Google Scholar 

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  1. Dept. of Mathematics, University of Windsor, N9 B3 P4, Windsor, Ontario, Canada

    Erwin Kreyszig

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  1. Erwin Kreyszig
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Kreyszig, E. On the construction of a class of bergman kernels for partial differential equations. Abh.Math.Semin.Univ.Hambg. 52, 120–132 (1982). https://doi.org/10.1007/BF02941870

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