Distribution Theory : Convolution, Fourier Transform, and Laplace Transform

Gerrit Dijk

ISBN 10: 3110295911 / ISBN 13: 9783110295917

Editore: De Gruyter, 2013

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9783110295917

Dati bibliografici

• Titolo: Distribution Theory : Convolution, Fourier Transform, and Laplace Transform
• Editore: De Gruyter
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3110295911
• ISBN 13: 9783110295917
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 246 L x 175 A x 14 P (millimetri) 246 millimetri di larghezza per 175 millimetri di altezza per 14 millimetri di profondità
• Peso: 421 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Gerrit van Dijk, Leiden University, The Netherlands.