Complex Analysis and Special Topics in Harmonic Analysis

Berenstein, Carlos A.; Gay, Roger

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.

Details

Published by: Springer

Publication Date: 2011-11-08

Format: Paperback

ISBN-13: 9781461384472

DOI: 10.1007/978-1-4613-8445-8

Dimensions: 235cm x155cm

Pages: 482