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.
- ISBN10 3110295911
- ISBN13 9783110295917
- Publish Date 15 March 2013 (first published 1 January 2013)
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format Hardcover
- Pages 117
- Language English
- URL http://degruyter.com/search?f_0=isbnissn&q_0=9783110295917&searchTitles=true