Complex analysis and special topics in harmonic analysis

書誌事項

Complex analysis and special topics in harmonic analysis

Carlos A. Berenstein, Roger Gay

Springer-Verlag, c1995

タイトル別名

Complex variables : an introduction

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注記

Includes bibliographical references (p. 471-478) and index

"A companion volume to the text Complex variables: an introduction by the same authors"--Back cover

内容説明・目次

内容説明

A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy Riemann equation plays in modern complex analysis. Topics considered include: boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.

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