Overview
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.
- | Author: Carlos a. Berenstein
- | Publisher: Springer
- | Publication Date: Nov 08, 2011
- | Number of Pages: 482 pages
- | Binding: Paperback or Softback
- | ISBN-10: 1461384478
- | ISBN-13: 9781461384472
