Boundary Values of Holomorphic Functions and Analytic Functionals

Carlos A. Berenstein and Roger Gay
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Carlos A. Berenstein: University of Maryland, Mathematics Department and Institute for Systems Research
Roger Gay: Université de Bordeaux I, Centre de Recherche en Mathématiques

Chapter Chapter 1 in Complex Analysis and Special Topics in Harmonic Analysis, 1995, pp 1-108 from Springer

Abstract: 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.

Keywords: Compact Subset; Holomorphic Function; Entire Function; Analytic Continuation; Hardy Space (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4613-8445-8_1

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