Boundary values and convolution in ultradistribution spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2007
|
| Schriftenreihe: | Series on analysis, applications and computation
v. 1 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 205-212) and index Cones in Rn and kernels -- Ultradifferentiable functions and ultradistributions -- Boundedness -- Cauchy and poisson integrals -- Boundary values of analytic functions -- Convolution of ultradistributions -- Integral transforms of tempered ultradistributions "This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved." "Ultradistributions are useful in applications in quantum field theory, partial differential equations, convolution equations, harmonic analysis, pseudo-differential theory, time-frequency analysis, and other areas of analysis. Thus this book is of interest to users of ultradistributions in applications as well as to research mathematicians in areas of analysis."--BOOK JACKET. |
| Beschreibung: | 1 Online-Ressource (xii, 217 p.) |
| ISBN: | 9789812707697 9789812708786 9812707697 9812708782 |
Internformat
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| 245 | 1 | 0 | |a Boundary values and convolution in ultradistribution spaces |c Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović |
| 264 | 1 | |a Singapore |b World Scientific |c c2007 | |
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| 490 | 0 | |a Series on analysis, applications and computation |v v. 1 | |
| 500 | |a Includes bibliographical references (p. 205-212) and index | ||
| 500 | |a Cones in Rn and kernels -- Ultradifferentiable functions and ultradistributions -- Boundedness -- Cauchy and poisson integrals -- Boundary values of analytic functions -- Convolution of ultradistributions -- Integral transforms of tempered ultradistributions | ||
| 500 | |a "This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved." "Ultradistributions are useful in applications in quantum field theory, partial differential equations, convolution equations, harmonic analysis, pseudo-differential theory, time-frequency analysis, and other areas of analysis. Thus this book is of interest to users of ultradistributions in applications as well as to research mathematicians in areas of analysis."--BOOK JACKET. | ||
| 650 | 7 | |a MATHEMATICS / Functional Analysis |2 bisacsh | |
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| 700 | 1 | |a Pilipović, Stevan |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Carmichael, Richard D. |
| author_facet | Carmichael, Richard D. |
| author_role | aut |
| author_sort | Carmichael, Richard D. |
| author_variant | r d c rd rdc |
| building | Verbundindex |
| bvnumber | BV043073831 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)826658017 (DE-599)BVBBV043073831 |
| dewey-full | 515.782 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.782 |
| dewey-search | 515.782 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043073831 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:38Z |
| institution | BVB |
| isbn | 9789812707697 9789812708786 9812707697 9812708782 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028498023 |
| oclc_num | 826658017 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 217 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | World Scientific |
| record_format | marc |
| series2 | Series on analysis, applications and computation |
| spelling | Carmichael, Richard D. Verfasser aut Boundary values and convolution in ultradistribution spaces Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović Singapore World Scientific c2007 1 Online-Ressource (xii, 217 p.) txt rdacontent c rdamedia cr rdacarrier Series on analysis, applications and computation v. 1 Includes bibliographical references (p. 205-212) and index Cones in Rn and kernels -- Ultradifferentiable functions and ultradistributions -- Boundedness -- Cauchy and poisson integrals -- Boundary values of analytic functions -- Convolution of ultradistributions -- Integral transforms of tempered ultradistributions "This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved." "Ultradistributions are useful in applications in quantum field theory, partial differential equations, convolution equations, harmonic analysis, pseudo-differential theory, time-frequency analysis, and other areas of analysis. Thus this book is of interest to users of ultradistributions in applications as well as to research mathematicians in areas of analysis."--BOOK JACKET. MATHEMATICS / Functional Analysis bisacsh Theory of distributions (Functional analysis) Mathematical analysis Boundary value problems Convolutions (Mathematics) Integraltransformation (DE-588)4027235-7 gnd rswk-swf Ultradistribution (DE-588)4760360-4 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Ultradistribution (DE-588)4760360-4 s Randwertproblem (DE-588)4048395-2 s Integraltransformation (DE-588)4027235-7 s 1\p DE-604 Kamiński, Andrzej Józef Sonstige oth Pilipović, Stevan Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=518612 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Carmichael, Richard D. Boundary values and convolution in ultradistribution spaces MATHEMATICS / Functional Analysis bisacsh Theory of distributions (Functional analysis) Mathematical analysis Boundary value problems Convolutions (Mathematics) Integraltransformation (DE-588)4027235-7 gnd Ultradistribution (DE-588)4760360-4 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4027235-7 (DE-588)4760360-4 (DE-588)4048395-2 |
| title | Boundary values and convolution in ultradistribution spaces |
| title_auth | Boundary values and convolution in ultradistribution spaces |
| title_exact_search | Boundary values and convolution in ultradistribution spaces |
| title_full | Boundary values and convolution in ultradistribution spaces Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović |
| title_fullStr | Boundary values and convolution in ultradistribution spaces Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović |
| title_full_unstemmed | Boundary values and convolution in ultradistribution spaces Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović |
| title_short | Boundary values and convolution in ultradistribution spaces |
| title_sort | boundary values and convolution in ultradistribution spaces |
| topic | MATHEMATICS / Functional Analysis bisacsh Theory of distributions (Functional analysis) Mathematical analysis Boundary value problems Convolutions (Mathematics) Integraltransformation (DE-588)4027235-7 gnd Ultradistribution (DE-588)4760360-4 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | MATHEMATICS / Functional Analysis Theory of distributions (Functional analysis) Mathematical analysis Boundary value problems Convolutions (Mathematics) Integraltransformation Ultradistribution Randwertproblem |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=518612 |
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