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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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2015, 2015
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Edition: | 1st ed. 2015 |
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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