Complex Analysis and Special Topics in Harmonic Analysis

This companion volume to the authors' work "Complex Variables: An Introduction" continues to emphasize the role played by the Cauchy-Riemann equation in modern complex analysis.

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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.