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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.
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| 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 |
Tabla de Contenidos:
- 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.