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...
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| Format: | eBook |
| Language: | English |
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Amsterdam
North-Holland
1984, 1984
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| Series: | North-Holland mathematics studies
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| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of 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
- Includes bibliographical references (pages 367-369) and index