Multiplication Of Distributions
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New Generalized Functions And Multiplication Of Distributions
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Author : J.F. Colombeau
language : en
Publisher: Elsevier
Release Date : 2000-04-01
New Generalized Functions And Multiplication Of Distributions written by J.F. Colombeau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.
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 : Jean F. Colombeau
language : en
Publisher: Springer
Release Date : 2006-11-15
Multiplication Of Distributions written by Jean F. Colombeau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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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Author : Jean François Colombeau
language : en
Publisher:
Release Date : 1992
Multiplication Of Distributions written by Jean François Colombeau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Multiplication Of Distributions
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Author : Jean F. Colombeau
language : en
Publisher:
Release Date : 2014-01-15
Multiplication Of Distributions written by Jean F. Colombeau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Multiplication Of Distributions And Applications To Partial Differential Equations
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Author : Michael Oberguggenberger
language : en
Publisher:
Release Date : 1992
Multiplication Of Distributions And Applications To Partial Differential Equations written by Michael Oberguggenberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Differential equations, Hyperbolic categories.
Multiplication Of Distributions And Applications To Partial Differential Equations
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Author : Michael Oberguggenberger
language : en
Publisher:
Release Date : 1992
Multiplication Of Distributions And Applications To Partial Differential Equations written by Michael Oberguggenberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Elementary Introduction To New Generalized Functions
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Author : J.F. Colombeau
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Elementary Introduction To New Generalized Functions written by J.F. Colombeau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
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.
The Theory Of Distributions
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Author : J. Ian Richards
language : en
Publisher: CUP Archive
Release Date : 1995-09-29
The Theory Of Distributions written by J. Ian Richards and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-29 with Mathematics categories.
A self-contained mathematical introduction that concentrates on the essential results important to non-specialists.
Distributions
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Author : Jean-Paul Marchand
language : en
Publisher: Courier Corporation
Release Date : 2012-03-10
Distributions written by Jean-Paul Marchand and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-10 with Mathematics categories.
In a simple but mathematically coherent manner, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki. Rigorous and concise, it surveys the functional theory of distributions as well as the algebraic theory. Easy generalizations offer applications to a wide variety of problems. 1962 edition.
Distributions Fourier Transforms And Some Of Their Applications To Physics
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Author : Thomas Schcker
language : en
Publisher: World Scientific
Release Date : 1991
Distributions Fourier Transforms And Some Of Their Applications To Physics written by Thomas Schcker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: It only presupposes standard calculus.It allows to justify manipulations necessary in physical applications. The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.