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Boundary Values of Holomorphic Functions and Analytic Functionals

In: Complex Analysis and Special Topics in Harmonic Analysis

Author

Listed:
  • Carlos A. Berenstein

    (University of Maryland, Mathematics Department and Institute for Systems Research)

  • Roger Gay

    (Université de Bordeaux I, Centre de Recherche en Mathématiques)

Abstract

The Schwarz Reflection Principle leads naturally to the consideration of boundary values of holomorphic functions. Those boundary values can exist pointwise, almost everywhere, or in some generalized sense, for instance, in the sense of distributions, as in the Edge-of-the-Wedge Theorem (see [BG, Theorem 3.6.23], [Beur]). Let us make these concepts more precise.

Suggested Citation

  • Carlos A. Berenstein & Roger Gay, 1995. "Boundary Values of Holomorphic Functions and Analytic Functionals," Springer Books, in: Complex Analysis and Special Topics in Harmonic Analysis, chapter 0, pages 1-108, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4613-8445-8_1
    DOI: 10.1007/978-1-4613-8445-8_1
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