Distribution, Integral Transforms and Applications /

"The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments tha...

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Bibliographic Details
Main Authors: Kierat, W. (Author), Sztaba, Urszula (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2014.
Edition:First edition.
Series:Analytical Methods and Special Functions
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • chapter 1 DEFINITIONS AND PRELIMINARIES
  • THEOREM PROOF.
  • chapter 1 DEFINITIONS AND PRELIMINARIES (1.13.1).
  • chapter A •
  • chapter PROOF.
  • chapter OF THEOREM
  • PROOF
  • chapter PROOF.
  • TO this end we have to show that
  • chapter THEOREM
  • chapter DEFINITION
  • chapter EXAMPLE
  • chapter 6 7. FOURIER TRANSFORMS OF THE HERMITE FUNCTIONS 107 EXAMPLE
  • chapter EXAMPLE
  • chapter THEOREM
  • chapter 6 TEMPERED DISTRIBUTIONS AND FOURIER TRANSFORMS
  • exp(-i|a| )^a^(a)
  • chapter 128 7. ORTHOGONAL EXPANSIONS OF DISTRIBUTIONS
  • chapter 7. ORTHOGONAL EXPANSIONS OP DISTRIBUTIONS
  • chapter COROLLARY.