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  • 1
    Book
    Book
    Distribution theory : convolution, Fourier transform, and Laplace transform (2013)
    Berlin [u.a.] :De Gruyter,
    Details
    UID:
    almahu_BV040915240
    Format: VIII, 105 S. : , graph. Darst.
    ISBN: 3-11-029591-1 , 978-3-11-029591-7
    Series Statement: De Gruyter graduate lectures
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-029851-2
    Language: English
    Subjects: Mathematics
    RVK:
    SK 450
    RVK:
    SK 600
    Keywords: Distributionstheorie
    URL: Inhaltstext
    URL: Inhaltsverzeichnis
    Author information: Dijk, Gerrit van, 1939-
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  • 2
    Book
    Book
    Distribution theory : convolution, Fourier transform, and Laplace transform (2013)
    Berlin [u.a.] : De Gruyter
    Details
    UID:
    b3kat_BV040915240
    Format: VIII, 105 S. , graph. Darst.
    ISBN: 3110295911 , 9783110295917
    Series Statement: De Gruyter graduate lectures
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-029851-2
    Language: English
    Subjects: Mathematics
    RVK:
    SK 450
    RVK:
    SK 600
    Keywords: Distributionstheorie
    URL: Inhaltstext
    URL: Inhaltsverzeichnis
    Author information: Dijk, Gerrit van 1939-
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  • 3
    Online Resource
    Online Resource
    Distribution Theory : Convolution, Fourier Transform, and Laplace Transform (2013)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949462259702882
    Format: 1 online resource (109 p.)
    ISBN: 9783110298512 , 9783110238570
    Series Statement: De Gruyter Textbook
    Content: 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.
    Note: Frontmatter -- , Preface -- , Contents -- , 1 Introduction -- , 2 Definition and First Properties of Distributions -- , 3 Differentiating Distributions -- , 4 Multiplication and Convergence of Distributions -- , 5 Distributions with Compact Support -- , 6 Convolution of Distributions -- , 7 The Fourier Transform -- , 8 The Laplace Transform -- , 9 Summable Distributions -- , 10 Appendix -- , 11 Hints to the Exercises -- , References -- , Index -- , Backmatter , Mode of access: Internet via World Wide Web. , In English.
    In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
    In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
    In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
    In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
    In: E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
    In: E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
    Additional Edition: ISBN 9783110295917
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    DOI: 10.1515/9783110298512
    URL: https://doi.org/10.1515/9783110298512
    URL: https://www.degruyter.com/isbn/9783110298512
    URL: Cover
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    Online Resource
    Open Access Request
    HU Berlin
  • 4
    Online Resource
    Online Resource
    Distribution Theory : Convolution, Fourier Transform, and Laplace Transform (2013)
    Berlin : De Gruyter
    Details
    UID:
    almahu_9947359997402882
    Format: Online-Ressource (VIII, 109 S.)
    Series Statement: De Gruyter Textbook
    Content: Biographical note: Gerrit van Dijk, Leiden University, The Netherlands.
    Content: 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.
    Note: Description based upon print version of record , 5.3 Taylor's Formula for Rn5.4 Structure of a Distribution*; 6 Convolution of Distributions; 6.1 Tensor Product of Distributions; 6.2 Convolution Product of Distributions; 6.3 Associativity of the Convolution Product; 6.4 Exercises; 6.5 Newton Potentials and Harmonic Functions; 6.6 Convolution Equations; 6.7 Symbolic Calculus of Heaviside; 6.8 Volterra Integral Equations of the Second Kind; 6.9 Exercises; 6.10 Systems of Convolution Equations*; 6.11 Exercises; 7 The Fourier Transform; 7.1 Fourier Transform of a Function on R; 7.2 The Inversion Theorem; 7.3 Plancherel's Theorem. , 7.4 Differentiability Properties7.5 The Schwartz Space S(R); 7.6 The Space of Tempered Distributions S'(R); 7.7 Structure of a Tempered Distribution*; 7.8 Fourier Transform of a Tempered Distribution; 7.9 Paley Wiener Theorems on R*; 7.10 Exercises; 7.11 Fourier Transform in Rn; 7.12 The Heat or Diffusion Equation in One Dimension; 8 The Laplace Transform; 8.1 Laplace Transform of a Function; 8.2 Laplace Transform of a Distribution; 8.3 Laplace Transform and Convolution; 8.4 Inversion Formula for the Laplace Transform; 9 Summable Distributions*; 9.1 Definition and Main Properties. , 9.2 The Iterated Poisson Equation9.3 Proof of the Main Theorem; 9.4 Canonical Extension of a Summable Distribution; 9.5 Rank of a Distribution; 10 Appendix; 10.1 The Banach Steinhaus Theorem; 10.2 The Beta and Gamma Function; 11 Hints to the Exercises; References; Index. , Preface; 1 Introduction; 2 Definition and First Properties of Distributions; 2.1 Test Functions; 2.2 Distributions; 2.3 Support of a Distribution; 3 Differentiating Distributions; 3.1 Definition and Properties; 3.2 Examples; 3.3 The Distributions x+?-1(??0,-1,-2,...)*; 3.4 Exercises; 3.5 Green's Formula and Harmonic Functions; 3.6 Exercises; 4 Multiplication and Convergence of Distributions; 4.1 Multiplication with a C8 Function; 4.2 Exercises; 4.3 Convergence in D'; 4.4 Exercises; 5 Distributions with Compact Support; 5.1 Definition and Properties; 5.2 Distributions Supported at the Origin.
    Additional Edition: ISBN 9783110295917
    Additional Edition: ISBN 9783110298512
    Language: English
    Keywords: Electronic books
    DOI: 10.1515/9783110298512
    URL: http://dx.doi.org/10.1515/9783110298512
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    Online Resource
    Open Access Request
    HU Berlin
  • 5
    Online Resource
    Online Resource
    Distribution theory : convolution, Fourier transform, and Laplace transform (2013)
    Berlin : de Gruyter
    Details
    UID:
    gbv_1656011379
    Format: 1 Online-Ressource (VIII, 109)
    ISBN: 9783110298512
    Series Statement: De Gruyter graduate lectures
    Content: Biographical note: Gerrit van Dijk, Leiden University, The Netherlands.
    Content: 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.
    Note: In English
    Additional Edition: ISBN 9783110295917
    Additional Edition: Erscheint auch als Druck-Ausgabe Dijk, Gerrit van, 1939 - Distribution theory Berlin [u.a.] : de Gruyter, 2013 ISBN 9783110295917
    Additional Edition: ISBN 3110295911
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Distributionstheorie
    DOI: 10.1515/9783110298512
    URL: Volltext
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
    URL: Cover
    URL: Inhaltstext
    URL: Cover
    Author information: Dijk, Gerrit van 1939-
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 6
    Book
    Book
    Distribution theory : convolution, Fourier transform, and Laplace transform (2013)
    Berlin [u.a.] : de Gruyter
    Details
    UID:
    gbv_1602495904
    Format: VIII, 105 S.
    ISBN: 9783110295917 , 3110295911
    Series Statement: Graduate lectures
    Note: Literaturverz. S. [107]
    Additional Edition: ISBN 9783110298512
    Additional Edition: Online-Ausg. Dijk, Gerrit van, 1939 - Distribution theory Berlin [u.a.] : De Gruyter, 2013 ISBN 9783110295917
    Additional Edition: Erscheint auch als Online-Ausgabe Dijk, Gerrit Distribution Theory Berlin/Boston : De Gruyter, Inc., 2013 ISBN 9783110298512
    Additional Edition: Erscheint auch als Online-Ausgabe Dijk, Gerrit van, 1939 - Distribution theory Berlin : de Gruyter, 2013 ISBN 9783110298512
    Additional Edition: Online-Ausg. Dijk, Gerrit van, 1939 - Distribution theory Berlin [u.a.] : de Gruyter, 2013 ISBN 9783110298512
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Distributionstheorie
    URL: Inhaltstext
    URL: Inhaltstext
    URL: Inhaltsverzeichnis
    Author information: Dijk, Gerrit van 1939-
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    UB Potsdam get availability status
  • 7
    Book
    Book
    Distribution theory : convolution, Fourier transform, and Laplace transform (2013)
    Berlin [u.a.] : Walter de Gruyter GmbH & Co. KG
    Details
    UID:
    kobvindex_ZLB15650064
    Format: VIII, 105 Seiten , graph. Darst.
    ISBN: 9783110295917 , 3110295911
    Series Statement: De Gruyter graduate lectures
    Note: Literaturangaben
    Language: English
    Keywords: Distributionstheorie
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    Berlin VÖBB/ZLB get availability status
  • 8
    Online Resource
    Online Resource
    Distribution theory : convolution, Fourier transform, and Laplace transform (2013)
    Berlin :De Gruyter,
    Details
    UID:
    edocfu_9959243941502883
    Format: 1 online resource (viii, 105 pages) : , illustrations.
    Edition: 1st ed.
    ISBN: 3-11-029851-1
    Series Statement: De Gruyter Textbook
    Content: 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.
    Note: Description based upon print version of record. , Front matter -- , Preface -- , Contents -- , 1 Introduction -- , 2 Definition and First Properties of Distributions -- , 3 Differentiating Distributions -- , 4 Multiplication and Convergence of Distributions -- , 5 Distributions with Compact Support -- , 6 Convolution of Distributions -- , 7 The Fourier Transform -- , 8 The Laplace Transform -- , 9 Summable Distributions -- , 10 Appendix -- , 11 Hints to the Exercises -- , References -- , Index -- , Backmatter , English
    Additional Edition: ISBN 3-11-029591-1
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    DOI: 10.1515/9783110298512
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    FU Berlin
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