ENGLISH

Distribution theory: Convolution, Fourier transform, and Laplace transform

By van Dijk G.

Book information

Publisher
de Gruyter
Year
2013
ISBN
978-3-11-029591-7, 978-3-11-029851-2
Language
english
Format
PDF
Filesize
669 kB (684731 bytes)
Pages
118\118
Library
Kolxo3
Time added
2013-12-29 19:00:00
Математика;Теория вероятностей и математическая ст

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 graduate level or for self-study

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