New generalized functions and multiplication of distributions

書誌事項

New generalized functions and multiplication of distributions

Jean François Colombeau

(North-Holland mathematics studies, 84)(Notas de matemática, no. 90)

North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984

  • : pbk

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注記

Bibliography: p. 367-369

Includes index

内容説明・目次

内容説明

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.

目次

Parts: I. Introduction to the Multiplication of Distributions. II. A Generalized Mathematical Analysis. III. A Mathematical Setting for Quantum Field Theory. Index.

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