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New generalized functions and multiplication of distributions
Title:
New generalized functions and multiplication of distributions
Author:
Colombeau, Jean François, 1947-
ISBN:
9780444868305
9780080871950
Personal Author:
Publication Information:
Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984.
Physical Description:
1 online resource (xii, 375 pages).
Series:
North-Holland mathematics studies ; 84
Notas de matemática ; 90
North-Holland mathematics studies ; 84.
Notas de matemática (Rio de Janeiro, Brazil) ; no. 90.
Contents:
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.
Abstract:
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.
Genre:
Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780444868305 ScienceDirect http://www.sciencedirect.com/science/publication?issn=03040208&volume=84Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA1 .N86 NO. 90 EB | 1191251-1001 | Elsevier E-Book Collections | Searching... |
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