Téléchargez le livre : Elementary Introduction to New Generalized Functions

Elementary Introduction to New Generalized Functions



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Éditeur :

North Holland


Paru le : 2011-08-18



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Description
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 C8 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.
Pages
280 pages
Collection
n.c
Parution
2011-08-18
Marque
North Holland
EAN papier
9780444877567
EAN PDF SANS DRM
9780080872247
Informations sur l'ebook
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Prix
205,72 €

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