Theory of Distributions

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differen...

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Bibliographic Details
Main Author: Georgiev, Svetlin G.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Generalities on distributions
  • 3 Differentiation
  • 4 Homogeneous distributions
  • 5 Direct product of distributions
  • 6 Convolutions
  • 7 Tempered distributions
  • 8 Integral transforms
  • 9 Fundamental solutions
  • 10 Sobolev spaces