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Mathematics - Sets, General Topology, & Categories, Mathematical Analysis - General & Miscellaneous, Calculus
Complex Analysis and Special Topics in Harmonic Analysis by Carlos A. Berenstein β€” book cover

Complex Analysis and Special Topics in Harmonic Analysis

by Carlos A. Berenstein, Roger Gay
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Overview

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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Book Details

Published
July 31, 2012
Publisher
Springer-Verlag New York, LLC
Pages
492
Format
Paperback
ISBN
9781461384472

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