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Distribution Theory : Convolution, Fourier Transform, and Laplace Transform

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Title: Distribution Theory : Convolution, Fourier Transform, and Laplace Transform
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.
Authors: Gerrit Dijk
Resource Type: eBook.
Subjects: Theory of distributions (Functional analysis)
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Applied, MATHEMATICS / Game Theory, MATHEMATICS / Recreations & Games, MATHEMATICS / Vector Analysis, MATHEMATICS / Functional Analysis
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 604263
RelevancyScore: 1051
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1050.81640625
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  Data: 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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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.782
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Theory of distributions (Functional analysis)
        Type: general
    Titles:
      – TitleFull: Distribution Theory : Convolution, Fourier Transform, and Laplace Transform
        Type: main
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          Name:
            NameFull: Gerrit Dijk
      – PersonEntity:
          Name:
            NameFull: Gerrit Dijk
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9783110295917
            – Type: isbn-electronic
              Value: 9783110298512
          Titles:
            – TitleFull: Distribution Theory : Convolution, Fourier Transform, and Laplace Transform
              Type: main
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