Title: Complex analysis and special topics in harmonic analysis
First published: 1995
Description: A companion volume to the text Complex Variables: An Introduction by the same authors, this book further develops the theory of holomorphic functions, 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 and hyperfunctions; L[superscript 2]-estimates for solutions of the Cauchy-Riemann equation, 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 spectral synthesis theorem of L.

Schwartz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic analysis. By providing an overview of current research and open problems, as well as topics that have wide applications in engineering, this book should be of interest to mathematicians and applied mathematicians, as well as to graduate students beginning their research.
Subjects: Harmonic analysis, Functions of complex variables, Mathematics, Global analysis (Mathematics), Topological Groups, Analysis, Lie Groups Topological Groups
LC classification: QA331.7 .B462 1995