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Quasihomogeneous distributions /
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 quasiho...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A :
North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1991.
|
| Colección: | North-Holland mathematics studies ;
165. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 003 | OCoLC | ||
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| 006 | m o d | ||
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| 008 | 090320s1991 ne ob 001 0 eng d | ||
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| 082 | 0 | 4 | |a 515/.782 |2 22 |
| 100 | 1 | |a Grudzinski, Olaf von, |d 1947- | |
| 245 | 1 | 0 | |a Quasihomogeneous distributions / |c Olaf von Grudzinski. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A : |b Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1991. | ||
| 300 | |a 1 online resource (xviii, 449 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 165 | |
| 520 | |a 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 Sch�rdinger 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 Sch�rdinger equation. | ||
| 504 | |a Includes bibliographical references (pages 445-446) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Quasihomogeneous Distributions; Copyright Page; Contents; Introduction; Notation; List of Symbols; Chapter I. (Almost) Quasihomogeneous Functions. Definitions and Basic Properties; Chapter II. (Almost) Quasihomogeneous Distributions. Definitions and Basic Properties; Chapter III. Constructing (Almost) Quasihomogeneous Functions by Taking Quasihomogeneous Averages of Functions with M-bounded Support; Chapter IV. Constructing (Almost) Quasihomogeneous Distributions by Taking Quasihomogeneous Averages . The Case: X is Locally M-bounded. | |
| 650 | 0 | |a Theory of distributions (Functional analysis) | |
| 650 | 6 | |a Th�eorie des distributions (Analyse fonctionnelle) |0 (CaQQLa)201-0058588 | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Theory of distributions (Functional analysis) |2 fast |0 (OCoLC)fst01149672 | |
| 650 | 7 | |a Distributions, th�eorie des (Analyse fonctionnelle) |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Grudzinski, Olaf von, 1947- |t Quasihomogeneous distributions. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1991 |z 0444886702 |z 9780444886705 |w (DLC) 90023029 |w (OCoLC)22733022 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 165. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444886705 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=165 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/165 |z Texto completo |