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Elementary introduction to new generalized functions /
The author's previous book �New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced �new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributor for the U.S.A. and Canada, Elsevier Science Pub. Co.,
�1985.
|
| Colección: | North-Holland mathematics studies ;
113. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 103. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1985 ne a ob 001 0 eng d | ||
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| 019 | |a 301945104 |a 646774853 | ||
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| 020 | |a 0444877568 | ||
| 020 | |a 9780080872247 |q (electronic bk.) | ||
| 020 | |a 0080872247 |q (electronic bk.) | ||
| 035 | |a (OCoLC)316569900 |z (OCoLC)301945104 |z (OCoLC)646774853 | ||
| 050 | 4 | |a QA1 |b .N86 no. 103eb | |
| 050 | 4 | |a QA324 |b .C65 1985eb | |
| 072 | 7 | |a MAT |x 023000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 026000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 039000 |2 bisacsh | |
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| 100 | 1 | |a Colombeau, Jean Fran�cois, |d 1947- | |
| 245 | 1 | 0 | |a Elementary introduction to new generalized functions / |c Jean Fran�cois Colombeau. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributor for the U.S.A. and Canada, Elsevier Science Pub. Co., |c �1985. | ||
| 300 | |a 1 online resource (xiii, 281 pages) : |b illustrations | ||
| 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 113 | |
| 490 | 1 | |a Notas de matem�atica ; |v 103 | |
| 504 | |a Includes bibliographical references (pages 278-281) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The author's previous book �New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced �new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R & eegr;, of C & infin; functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field. | ||
| 505 | 0 | |a Part 1 : An elementary approach to the new generalized functions. Generalized functions ; Generalized analysis ; Some linear Cauchy problems -- Part 2 : Tempered generalized functions. The Fourier transform and the tempered generalized functions ; The convolution product ; Computations on tempered generalized functions -- Part 3 : New solutions of partial differential equations. Linear equations ; Nonlinear equations -- Appendices. | |
| 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 Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a Theory of distributions (Functional analysis) |2 fast |0 (OCoLC)fst01149672 | |
| 653 | |a Mathematics |a Distributions | ||
| 776 | 0 | 8 | |i Print version: |a Colombeau, Jean Fran�cois, 1947- |t Elementary introduction to new generalized functions. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributor for the U.S.A. and Canada, Elsevier Science Pub. Co., �1985 |z 0444877568 |z 9780444877567 |w (DLC) 85006815 |w (OCoLC)11970057 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 113. | |
| 830 | 0 | |a Notas de matem�atica (Rio de Janeiro, Brazil) ; |v no. 103. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444877567 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=113 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/113 |z Texto completo |
| 880 | |6 520-00/(S |a The author's previous book 'New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced 'new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of Rη, of C functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field. | ||