Complex Analysis and Special Topics in Harmonic 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.

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