Boundary values and convolution in ultradistribution spaces /:
"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 re...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2007.
|
| Schriftenreihe: | Series on analysis, applications and computation ;
v. 1. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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."--Jacket |
| Beschreibung: | 1 online resource (xii, 217 pages) |
| Bibliographie: | Includes bibliographical references (pages 205-212) and index. |
| ISBN: | 9789812708786 9812708782 |
| ISSN: | 1793-4702 ; |
Internformat
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| contents | 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. |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:09Z |
| institution | BVB |
| isbn | 9789812708786 9812708782 |
| issn | 1793-4702 ; |
| language | English |
| oclc_num | 826658017 |
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| series | Series on analysis, applications and computation ; |
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| spelling | Carmichael, Richard D. Boundary values and convolution in ultradistribution spaces / Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović. Singapore ; Hackensack, NJ : World Scientific, ©2007. 1 online resource (xii, 217 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on analysis, applications and computation, 1793-4702 ; v. 1 Includes bibliographical references (pages 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."--Jacket Print version record. Theory of distributions (Functional analysis) http://id.loc.gov/authorities/subjects/sh85038549 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Convolutions (Mathematics) http://id.loc.gov/authorities/subjects/sh85031752 Théorie des distributions (Analyse fonctionnelle) Analyse mathématique. Problèmes aux limites. Convolutions (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Boundary value problems fast Convolutions (Mathematics) fast Mathematical analysis fast Theory of distributions (Functional analysis) fast Kamiński, Andrzej Józef. Pilipović, Stevan. Print version: Carmichael, Richard D. Boundary values and convolution in ultradistribution spaces. Singapore ; Hackensack, NJ : World Scientific, ©2007 9789812707697 (DLC) 2007300168 (OCoLC)166373572 Series on analysis, applications and computation ; v. 1. 1793-4702 http://id.loc.gov/authorities/names/no2007153869 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=518612 Volltext |
| spellingShingle | Carmichael, Richard D. Boundary values and convolution in ultradistribution spaces / Series on analysis, applications and computation ; 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. Theory of distributions (Functional analysis) http://id.loc.gov/authorities/subjects/sh85038549 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Convolutions (Mathematics) http://id.loc.gov/authorities/subjects/sh85031752 Théorie des distributions (Analyse fonctionnelle) Analyse mathématique. Problèmes aux limites. Convolutions (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Boundary value problems fast Convolutions (Mathematics) fast Mathematical analysis fast Theory of distributions (Functional analysis) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85038549 http://id.loc.gov/authorities/subjects/sh85082116 http://id.loc.gov/authorities/subjects/sh85016102 http://id.loc.gov/authorities/subjects/sh85031752 |
| 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 | Theory of distributions (Functional analysis) http://id.loc.gov/authorities/subjects/sh85038549 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Convolutions (Mathematics) http://id.loc.gov/authorities/subjects/sh85031752 Théorie des distributions (Analyse fonctionnelle) Analyse mathématique. Problèmes aux limites. Convolutions (Mathématiques) MATHEMATICS Functional Analysis. bisacsh Boundary value problems fast Convolutions (Mathematics) fast Mathematical analysis fast Theory of distributions (Functional analysis) fast |
| topic_facet | Theory of distributions (Functional analysis) Mathematical analysis. Boundary value problems. Convolutions (Mathematics) Théorie des distributions (Analyse fonctionnelle) Analyse mathématique. Problèmes aux limites. Convolutions (Mathématiques) MATHEMATICS Functional Analysis. Boundary value problems Mathematical analysis |
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