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ISBN: 0582018560 Year: 1989 Volume: vol 206 Publisher: New York Longman Scientific & Technical
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ISBN: 0857099353 1904275397 9780857099358 9781904275398 Year: 2011 Publisher: Cambridge, England ; Philadelphia, Pennsylvania ; New Delhi, India : Woodhead Publishing,
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Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions.Dealing with a difficult subject in a simple and straightforward way, the text is rea
ISBN: 0521640156 0521649714 Year: 1998 Publisher: Cambridge Cambridge University Press
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ISBN: 0821827294 Year: 2001 Publisher: Providence, Rhode Island : American Mathematical Society,
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ISBN: 0521237238 9780521237239 9780511569210 9780521100045 Year: 1982 Publisher: Cambridge Cambridge University Press
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Theory of distributions (Functional analysis) --- 517 --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- Analysis --- Theory of distributions (Functional analysis). --- 517 Analysis
ISBN: 9781898563983 1898563985 0857099485 9780857099488 Year: 2011 Publisher: Cambridge, England ; Philadelphia, Pennsylvania ; New Delhi, India : Woodhead Publishing,
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Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing
Book
ISBN: 3540562885 0387562885 3540475109 9783540562887 Year: 1992 Volume: 1532 Publisher: Berlin: Springer,
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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 smooth and somewhat heuristic introduction to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
Mathematical distribution theory --- Distributies (Functionaalanalyse) --- Distributions (Analyse fonctionnelle) --- Distributions [Theory of ] (Functional analysis) --- Theory of distributions (Functional analysis) --- 51 --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- Mathematics --- Theory of distributions (Functional analysis). --- 51 Mathematics
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ISBN: 0387524088 3540524088 3540469818 9783540524083 Year: 1990 Volume: 1421 Publisher: Berlin: Springer,
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Distributies (Functionaalanalyse) --- Distributions (Analyse fonctionnelle) --- Distributions [Theory of ] (Functional analysis) --- Niet-lineaire theorieën --- Nonlinear theories --- Theorieën [Niet-lineaire ] --- Théories non-linéaires --- Nonlinear theories. --- Theory of distributions (Functional analysis) --- Theory of distributions (Functional analysis). --- 51 --- 51 Mathematics --- Mathematics --- Functional analysis --- Distributions, Theory of (Functional analysis)
Book
ISBN: 0444878858 9780444878854 9780080872308 0080872301 1281788422 9781281788429 9786611788421 Year: 1986 Volume: 119 Publisher: Amsterdam: North-Holland,
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Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.
Functional analysis --- Theory of distributions (Functional analysis) --- Transformations (Mathematics) --- Theory of distributions (Functional analysis). --- Transformations (Mathematics). --- Algorithms --- Differential invariants --- Geometry, Differential --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions
ISBN: 0444868305 9780444868305 9786611790301 1281790303 008087195X 9780080871950 Year: 1984 Volume: 90 84 Publisher: Amsterdam: North-Holland,
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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.
Theory of distributions (Functional analysis) --- Distributions, Théorie des (Analyse fonctionnelle) --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis
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