New generalized functions and multiplication of distributions [electronic resource] / Jean Fran�cois Colombeau.
Material type:
TextSeries: North-Holland mathematics studies ; 84. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 90.Publication details: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984. Description: 1 online resource (xii, 375 p.)ISBN: 9780444868305; 0444868305Subject(s): Theory of distributions (Functional analysis) | Distributions, Th�eorie des (Analyse fonctionnelle) | Theory of distributions (Functional analysis)Genre/Form: Electronic books.Additional physical formats: Print version:: New generalized functions and multiplication of distributions.DDC classification: 510 | 515.7/82 LOC classification: QA1 | .N86 no. 90ebQA324 | .C65 1984ebOnline resources: ScienceDirect | Volltext Summary: 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.
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.
Includes bibliographical references (p. 367-369) and index.
Description based on print version record.
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