New Generalized Functions and Multiplication of Distributions

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Publisher : Elsevier
ISBN 13 : 008087195X
Total Pages : 389 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis New Generalized Functions and Multiplication of Distributions by : J.F. Colombeau

Download or read book New Generalized Functions and Multiplication of Distributions written by J.F. Colombeau and published by Elsevier. This book was released on 2000-04-01 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multiplication of Distributions

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Author :
Publisher : Springer
ISBN 13 : 3540475109
Total Pages : 193 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Multiplication of Distributions by : Jean F. Colombeau

Download or read book Multiplication of Distributions written by Jean F. Colombeau and published by Springer. This book was released on 2006-11-15 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).

Multiplication of Distributions

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Publisher :
ISBN 13 : 9783662171585
Total Pages : 196 pages
Book Rating : 4.1/5 (715 download)

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Book Synopsis Multiplication of Distributions by : Jean F. Colombeau

Download or read book Multiplication of Distributions written by Jean F. Colombeau and published by . This book was released on 2014-01-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiplication of Distributions

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Publisher :
ISBN 13 :
Total Pages : 183 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Multiplication of Distributions by : Jean François Colombeau

Download or read book Multiplication of Distributions written by Jean François Colombeau and published by . This book was released on 1992 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiplication of Distributions and Applications to Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Multiplication of Distributions and Applications to Partial Differential Equations by : Michael Oberguggenberger

Download or read book Multiplication of Distributions and Applications to Partial Differential Equations written by Michael Oberguggenberger and published by . This book was released on 1992 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiplication of Distributions and Applications to Partial Differential Equations

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Publisher :
ISBN 13 : 9780608052304
Total Pages : 330 pages
Book Rating : 4.0/5 (523 download)

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Book Synopsis Multiplication of Distributions and Applications to Partial Differential Equations by : Michael Oberguggenberger

Download or read book Multiplication of Distributions and Applications to Partial Differential Equations written by Michael Oberguggenberger and published by . This book was released on 1992 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Distributions

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Author :
Publisher : CUP Archive
ISBN 13 : 9780521558907
Total Pages : 172 pages
Book Rating : 4.5/5 (589 download)

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Book Synopsis The Theory of Distributions by : J. Ian Richards

Download or read book The Theory of Distributions written by J. Ian Richards and published by CUP Archive. This book was released on 1995-09-29 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained mathematical introduction that concentrates on the essential results important to non-specialists.

A Guide To Distribution Theory And Fourier Transforms

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813102292
Total Pages : 238 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis A Guide To Distribution Theory And Fourier Transforms by : Robert S Strichartz

Download or read book A Guide To Distribution Theory And Fourier Transforms written by Robert S Strichartz and published by World Scientific Publishing Company. This book was released on 2003-06-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

Distributions

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646752
Total Pages : 455 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Distributions by : J.J. Duistermaat

Download or read book Distributions written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.

The Elementary Theory of Distributions

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis The Elementary Theory of Distributions by : Jan Mikusiński

Download or read book The Elementary Theory of Distributions written by Jan Mikusiński and published by . This book was released on 1957 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory of Distributions

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521649711
Total Pages : 192 pages
Book Rating : 4.6/5 (497 download)

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Book Synopsis Introduction to the Theory of Distributions by : F. G. Friedlander

Download or read book Introduction to the Theory of Distributions written by F. G. Friedlander and published by Cambridge University Press. This book was released on 1998 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a classic graduate text on the theory of distributions.

Theory of Distributions

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Author :
Publisher : CRC Press
ISBN 13 : 9780849306693
Total Pages : 272 pages
Book Rating : 4.3/5 (66 download)

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Book Synopsis Theory of Distributions by : M.A. Al-Gwaiz

Download or read book Theory of Distributions written by M.A. Al-Gwaiz and published by CRC Press. This book was released on 1992-04-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary problems. Annotation

New generalized functions and multiplication of distributions

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (77 download)

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Book Synopsis New generalized functions and multiplication of distributions by : Jean François Colombeau

Download or read book New generalized functions and multiplication of distributions written by Jean François Colombeau and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Introduction to New Generalized Functions

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Author :
Publisher : Elsevier
ISBN 13 : 0080872247
Total Pages : 297 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Elementary Introduction to New Generalized Functions by : J.F. Colombeau

Download or read book Elementary Introduction to New Generalized Functions written by J.F. Colombeau and published by Elsevier. This book was released on 2011-08-18 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

Theory of Distributions

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Publisher : Springer
ISBN 13 : 3319195271
Total Pages : 217 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Theory of Distributions by : Svetlin G. Georgiev

Download or read book Theory of Distributions written by Svetlin G. Georgiev and published by Springer. This book was released on 2015-07-13 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.

Distributions with Fixed Marginals and Related Topics

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Author :
Publisher : IMS
ISBN 13 : 9780940600409
Total Pages : 390 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Distributions with Fixed Marginals and Related Topics by : Michael Dee Taylor

Download or read book Distributions with Fixed Marginals and Related Topics written by Michael Dee Taylor and published by IMS. This book was released on 1996 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distributions and Nonlinear Partial Differential Equations

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Author :
Publisher : Springer
ISBN 13 : 3540357076
Total Pages : 155 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Distributions and Nonlinear Partial Differential Equations by : Elemer E. Rosinger

Download or read book Distributions and Nonlinear Partial Differential Equations written by Elemer E. Rosinger and published by Springer. This book was released on 2006-11-15 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: