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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

Theory of distributions (Functional analysis) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis

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Functional analysis --- Theory of distributions (Functional analysis) --- Distributions, Théorie des (analyse fonctionnelle) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions

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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

Theory of distributions (Functional analysis). --- Theory of distributions (Functional analysis) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis

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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)