An edition of Distributions (2010)

Distributions

theory and applications

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Cover of: Distributions by J. J. Duistermaat
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Last edited by WikidataBot
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An edition of Distributions (2010)

Distributions

theory and applications

by

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

"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, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background."--Source other than Library of Congress.

Publish Date
Publisher
Birkhäuser
Language
English
Pages
445

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Previews available in: English

Subjects
Fourier transformations, Theory of distributions (Functional analysis), Theory of distributions (functional analysis), Distribution (probability theory)

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Edition Availability
Cover of: Distributions
Distributions: theory and applications
2010, Birkhäuser
in English
  • Not in Library
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Book Details

Published in

New York

Table of Contents

1. Motivation
2. Test functions
3. Distributions
4. Differentiation of distributions
5. Convergence of distributions
6. Taylor expansion in several variables
7. Localization
8. Distributions with compact support
9. Multiplication by functions
10. Transposition: pullback and pushforward
11. Convolution of distributions
12. Fundamental solutions
13. Fractional integration and differentiation
13.1. The case of dimension one
13.2. Wave family
13.3. Appendix: Euler's gamma function
14. Fourier transform
15. Distribution kernels
16. Fourier series
17. Fundamental solutions and Fourier Transform
18. Supports and Fourier Transform
19. Sobolev spaces
20. Appendix: Integration
21. Solutions to selected problems.

Edition Notes

Includes bibliographical references and index.

Series
Cornerstones, Cornerstones (Birkhäuser Verlag)

Classifications

Dewey Decimal Class
515.782
Library of Congress
QA324 .D85 2010, QA1-939

The Physical Object

Pagination
xvi, 445 p. :
Number of pages
445

ID Numbers

Open Library
OL25343341M
Internet Archive
distributionsthe00duis_685
ISBN 10
0817646728
ISBN 13
9780817646721
LCCN
2010932757
OCLC/WorldCat
666252121
Wikidata
Q56339851

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
November 3, 2023 Edited by WikidataBot [sync_edition_olids] add wikidata identifier
October 4, 2021 Edited by ImportBot import existing book
September 25, 2020 Edited by MARC Bot import existing book
June 29, 2019 Edited by MARC Bot import existing book
June 14, 2012 Created by LC Bot Imported from Library of Congress MARC record.