Asymptotic behavior of generalized functions:
The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2012
|
| Schriftenreihe: | Series on analysis, applications and computation
v. 5 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach - of Estrada, Kanwal and Vindas - is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting |
| Beschreibung: | xiii, 294 p |
| ISBN: | 9789814366854 |
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| 520 | |a The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach - of Estrada, Kanwal and Vindas - is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting | ||
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Datensatz im Suchindex
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| author | Pilipovic, Stevan |
| author_facet | Pilipovic, Stevan |
| author_role | aut |
| author_sort | Pilipovic, Stevan |
| author_variant | s p sp |
| building | Verbundindex |
| bvnumber | BV044638719 |
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| dewey-full | 515.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044638719 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:54Z |
| institution | BVB |
| isbn | 9789814366854 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030036692 |
| oclc_num | 1012657626 |
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| physical | xiii, 294 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | World Scientific Pub. Co. |
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| series2 | Series on analysis, applications and computation |
| spelling | Pilipovic, Stevan Verfasser aut Asymptotic behavior of generalized functions Steven Pilipovic, Bogoljub Stankovic, Jasson Vindas Singapore World Scientific Pub. Co. c2012 xiii, 294 p txt rdacontent c rdamedia cr rdacarrier Series on analysis, applications and computation v. 5 The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach - of Estrada, Kanwal and Vindas - is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting Asymptotic expansions Stankovic, Bogoljub 1924- Sonstige oth Vindas, Jasson Sonstige oth Erscheint auch als Druck-Ausgabe 9789814366847 Erscheint auch als Druck-Ausgabe 9814366846 http://www.worldscientific.com/worldscibooks/10.1142/8266#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Pilipovic, Stevan Asymptotic behavior of generalized functions Asymptotic expansions |
| title | Asymptotic behavior of generalized functions |
| title_auth | Asymptotic behavior of generalized functions |
| title_exact_search | Asymptotic behavior of generalized functions |
| title_full | Asymptotic behavior of generalized functions Steven Pilipovic, Bogoljub Stankovic, Jasson Vindas |
| title_fullStr | Asymptotic behavior of generalized functions Steven Pilipovic, Bogoljub Stankovic, Jasson Vindas |
| title_full_unstemmed | Asymptotic behavior of generalized functions Steven Pilipovic, Bogoljub Stankovic, Jasson Vindas |
| title_short | Asymptotic behavior of generalized functions |
| title_sort | asymptotic behavior of generalized functions |
| topic | Asymptotic expansions |
| topic_facet | Asymptotic expansions |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8266#t=toc |
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