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New generalized functions and multiplication of distributions /
This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1984.
|
| Colección: | North-Holland mathematics studies ;
84. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 90. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Colombeau, Jean Fran�cois, |d 1947- | |
| 245 | 1 | 0 | |a New generalized functions and multiplication of distributions / |c Jean Fran�cois Colombeau. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1984. | ||
| 300 | |a 1 online resource (xii, 375 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 84 | |
| 490 | 1 | |a Notas de matem�atica ; |v 90 | |
| 520 | |a This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics. | ||
| 504 | |a Includes bibliographical references (pages 367-369) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Part 1 : Introduction to the multiplication of distributions. A review of the classical heuristic computations of quantum field theory ; A review of some products of distributions ; A general multiplication of distributions -- A generalized mathematical analysis. Concepts of generalized functions ; Pointvalues of generalized functions ; Integration of generalized functions ; Generalized functions as boundary values of usual C[superscript infinity] functions ; Holomorphic generalized functions ; Further concepts of generalized functions : test functions in S'(IR[superscript n]) ; Further concepts of generalized functions : unbounded sets A[subscript q] -- Part 3 : A mathematical setting for quantum field theory. Vector valued generalized functions and free fields ; The interacting fields. | |
| 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 New generalized functions and multiplication of distributions. |d Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984 |z 0444868305 |z 9780444868305 |w (DLC) 83020778 |w (OCoLC)10162045 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 84. | |
| 830 | 0 | |a Notas de matem�atica (Rio de Janeiro, Brazil) ; |v no. 90. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444868305 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=84 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/84 |z Texto completo |