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...
Bewaard in:
| Hoofdauteurs: | , |
|---|---|
| Andere auteurs: | |
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Editie: | 1. |
| Reeks: | Cornerstones
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| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Distributions, theory and applications, J.J. Duistermaat, J.A.C. Kolk, 2010, [Basel], Birhkhäuser, Springer, 1 vol. (XVI-445 p.), Cornerstones, 978-0-8176-4672-1 • Distributions, theory and applications, J.J. Duistermaat, J.A.C. Kolk, 2010, [Basel], Birhkhäuser, Springer, 1 vol. (XVI-445 p.), Cornerstones, 978-0-8176-4672-1 • Distributions, Texte imprimé, 9780817672089 |
Inhoudsopgave:
- Contient des problèmes avec solutions
- 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.