Distributions Theory and Applications /
This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quan...
| Κύριοι συγγραφείς: | , |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Boston :
Birkhäuser Boston,
2010.
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| Έκδοση: | 1. |
| Σειρά: | Cornerstones
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Motivation
- Test Functions
- Distributions
- Differentiation of Distributions
- Convergence of Distributions
- Taylor Expansion in Several Variables
- Localization
- Distributions with Compact Support
- Multiplication by Functions
- Transposition: Pullback and Pushforward
- Convolution of Distributions
- Fundamental Solutions
- Fractional Integration and Differentiation
- Fourier Transform
- Distribution Kernels
- Fourier Series
- Fundamental Solutions and Fourier Transform
- Supports and Fourier Transform
- Sobolev Spaces
- Appendix: Integration
- Solutions to Selected Problems.
