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.
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.
Introduction to distributions; Further properties of distributions; Generalised functions and fourier analysis; Analytic representation; Multiplication of generalised functions; Infinitesimal analysis; Non-standard theories; References and index.
Introduction to distributions; Further properties of distributions; Generalised functions and fourier analysis; Analytic representation; Multiplication of generalised functions; Infinitesimal analysis; Non-standard theories; References and index.
Rezensionen
"An original and smart attempt to cover various developments of the theory of generalized and new generalized functions, beginning with the simplest considerations on distributions and finishing with deep remarks on the links with non-standard analysis. As far as I know, this is the only book to achieve this goal. .highly recommendable." --Zentralblatt Math
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