Complex Analysis and Special Topics in Harmonic Analysis

Released on by Carlos A. Berenstein
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  • Complex Analysis and Special Topics in Harmonic Analysis Book Detail

  • Author : Carlos A. Berenstein
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 491
  • ISBN 13 : 1461384451
  • File Size : 40,40 MB
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Complex Analysis and Special Topics in Harmonic Analysis by Carlos A. Berenstein PDF Summary

Book Description: 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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