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9781461384472

Complex Analysis and Special Topics in Harmonic Analysis

by ;
  • ISBN13:

    9781461384472

  • ISBN10:

    1461384478

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 2011-11-08
  • Publisher: Springer Verlag
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List Price: $109.99

Summary

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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