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221028 ||| eng |
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|a 9780080871950
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|a 9780444868305
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|a 0444868305
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4 |
|a QA324
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|a QA1
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|a Colombeau, Jean François
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|a New generalized functions and multiplication of distributions
|c Jean François Colombeau
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| 260 |
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|a Amsterdam
|b North-Holland
|c 1984, 1984
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| 300 |
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|a xii, 375 pages
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|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
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| 505 |
0 |
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|a Includes bibliographical references (pages 367-369) and index
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| 653 |
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|a Théorie des distributions (Analyse fonctionnelle)
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| 653 |
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|a Mathematics / Distributions
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| 653 |
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|a Theory of distributions (Functional analysis) / fast / (OCoLC)fst01149672
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| 653 |
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|a MATHEMATICS / Essays / bisacsh
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| 653 |
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|a Theory of distributions (Functional analysis) / http://id.loc.gov/authorities/subjects/sh85038549
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| 653 |
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|a MATHEMATICS / Reference / bisacsh
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| 653 |
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|a MATHEMATICS / Pre-Calculus / bisacsh
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
0 |
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|a North-Holland mathematics studies
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| 776 |
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|z 9780080871950
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| 776 |
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|z 008087195X
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| 856 |
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|u https://www.sciencedirect.com/science/bookseries/03040208/84
|x Verlag
|3 Volltext
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| 082 |
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|a 510
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| 082 |
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|a 515.7/82
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| 520 |
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|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
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