Distribution theory: convolution, Fourier transform, and Laplace transform
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
de Gruyter
2013
|
| Series: | De Gruyter Textbook
|
| Subjects: | |
| Online Access: | Volltext Volltext |
| Item Description: | Description based upon print version of record Biographical note: Gerrit van Dijk, Leiden University, The Netherlands Main description: The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added. It is suitable for a one-semester course at the advanced undergraduate or beginning graduatelevelor for self-study |
| Physical Description: | 1 Online-Ressource (PDF-Version: VIII, 109 S.) |
| ISBN: | 9783110295917 9783110298512 |
| DOI: | 10.1515/9783110298512 |
Staff View
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Record in the Search Index
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| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:39:47Z |
| institution | BVB |
| isbn | 9783110295917 9783110298512 |
| language | English |
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| spelling | Dijk, Gerrit van Verfasser aut Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk Berlin [u.a.] de Gruyter 2013 1 Online-Ressource (PDF-Version: VIII, 109 S.) txt rdacontent c rdamedia cr rdacarrier De Gruyter Textbook Description based upon print version of record Biographical note: Gerrit van Dijk, Leiden University, The Netherlands Main description: The theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added. It is suitable for a one-semester course at the advanced undergraduate or beginning graduatelevelor for self-study Distributionstheorie (DE-588)4150254-1 gnd rswk-swf Theory of distributions (Functional analysis) Electronic books Distributionstheorie (DE-588)4150254-1 s 1\p DE-604 https://doi.org/10.1515/9783110298512 Verlag Volltext http://www.degruyter.com/doi/book/10.1515/9783110298512 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dijk, Gerrit van Distribution theory convolution, Fourier transform, and Laplace transform Distributionstheorie (DE-588)4150254-1 gnd |
| subject_GND | (DE-588)4150254-1 |
| title | Distribution theory convolution, Fourier transform, and Laplace transform |
| title_auth | Distribution theory convolution, Fourier transform, and Laplace transform |
| title_exact_search | Distribution theory convolution, Fourier transform, and Laplace transform |
| title_full | Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk |
| title_fullStr | Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk |
| title_full_unstemmed | Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk |
| title_short | Distribution theory |
| title_sort | distribution theory convolution fourier transform and laplace transform |
| title_sub | convolution, Fourier transform, and Laplace transform |
| topic | Distributionstheorie (DE-588)4150254-1 gnd |
| topic_facet | Distributionstheorie |
| url | https://doi.org/10.1515/9783110298512 http://www.degruyter.com/doi/book/10.1515/9783110298512 |
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