Quasihomogeneous distributions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1991
|
| Schriftenreihe: | North-Holland mathematics studies
165 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Schṟdinger equation. The final chapter is devoted to quasihomogeneous wave front sets and their application to the description of singularities of quasihomogeneous distributions, in particular to quasihomogeneous fundamental solutions of the heat and of the Schṟdinger equation Includes bibliographical references (p. 445-446) and index |
| Beschreibung: | 1 Online-Ressource (xviii, 449 p.) |
| ISBN: | 9780444886705 0444886702 |
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| 500 | |a Includes bibliographical references (p. 445-446) and index | ||
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Datensatz im Suchindex
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| author | Grudzinski, Olaf von |
| author_facet | Grudzinski, Olaf von |
| author_role | aut |
| author_sort | Grudzinski, Olaf von |
| author_variant | o v g ov ovg |
| building | Verbundindex |
| bvnumber | BV042317846 |
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| dewey-full | 515/.782 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.782 |
| dewey-search | 515/.782 |
| dewey-sort | 3515 3782 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317846 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780444886705 0444886702 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754837 |
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| physical | 1 Online-Ressource (xviii, 449 p.) |
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| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | North-Holland |
| record_format | marc |
| series2 | North-Holland mathematics studies |
| spelling | Grudzinski, Olaf von Verfasser aut Quasihomogeneous distributions Olaf von Grudzinski Amsterdam North-Holland 1991 1 Online-Ressource (xviii, 449 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 165 This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Schṟdinger equation. The final chapter is devoted to quasihomogeneous wave front sets and their application to the description of singularities of quasihomogeneous distributions, in particular to quasihomogeneous fundamental solutions of the heat and of the Schṟdinger equation Includes bibliographical references (p. 445-446) and index Distributions, Théorie des (Analyse fonctionnelle) Distributions, théorie des (Analyse fonctionnelle) ram Theory of distributions (Functional analysis) fast Theory of distributions (Functional analysis) Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Distributionstheorie (DE-588)4150254-1 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Verteilungsfunktion (DE-588)4192219-0 gnd rswk-swf Distributionstheorie (DE-588)4150254-1 s 1\p DE-604 Distribution Funktionalanalysis (DE-588)4070505-5 s 2\p DE-604 Verteilungsfunktion (DE-588)4192219-0 s 3\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 4\p DE-604 http://www.sciencedirect.com/science/book/9780444886705 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Grudzinski, Olaf von Quasihomogeneous distributions Distributions, Théorie des (Analyse fonctionnelle) Distributions, théorie des (Analyse fonctionnelle) ram Theory of distributions (Functional analysis) fast Theory of distributions (Functional analysis) Funktionalanalysis (DE-588)4018916-8 gnd Distributionstheorie (DE-588)4150254-1 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd Verteilungsfunktion (DE-588)4192219-0 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4150254-1 (DE-588)4070505-5 (DE-588)4192219-0 |
| title | Quasihomogeneous distributions |
| title_auth | Quasihomogeneous distributions |
| title_exact_search | Quasihomogeneous distributions |
| title_full | Quasihomogeneous distributions Olaf von Grudzinski |
| title_fullStr | Quasihomogeneous distributions Olaf von Grudzinski |
| title_full_unstemmed | Quasihomogeneous distributions Olaf von Grudzinski |
| title_short | Quasihomogeneous distributions |
| title_sort | quasihomogeneous distributions |
| topic | Distributions, Théorie des (Analyse fonctionnelle) Distributions, théorie des (Analyse fonctionnelle) ram Theory of distributions (Functional analysis) fast Theory of distributions (Functional analysis) Funktionalanalysis (DE-588)4018916-8 gnd Distributionstheorie (DE-588)4150254-1 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd Verteilungsfunktion (DE-588)4192219-0 gnd |
| topic_facet | Distributions, Théorie des (Analyse fonctionnelle) Distributions, théorie des (Analyse fonctionnelle) Theory of distributions (Functional analysis) Funktionalanalysis Distributionstheorie Distribution Funktionalanalysis Verteilungsfunktion |
| url | http://www.sciencedirect.com/science/book/9780444886705 |
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