Complex Analysis and Special Topics in Harmonic Analysis

Complex Analysis and Special Topics in Harmonic Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 491
Release :
ISBN-10 : 9781461384458
ISBN-13 : 1461384451
Rating : 4/5 (451 Downloads)

Book Synopsis Complex Analysis and Special Topics in Harmonic Analysis by : Carlos A. Berenstein

Download or read book Complex Analysis and Special Topics in Harmonic Analysis written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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