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Elementary introduction to new generalized functions
Başlık:
Elementary introduction to new generalized functions
Yazar:
Colombeau, Jean François, 1947-
ISBN:
9780444877567
9780080872247
Yazar Ek Girişi:
Yayın Bilgileri:
Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributor for the U.S.A. and Canada, Elsevier Science Pub. Co., ©1985.
Fiziksel Tanımlama:
1 online resource (xiii, 281 pages) : illustrations.
Seri:
North-Holland mathematics studies ; 113
Notas de matemática ; 103
North-Holland mathematics studies ; 113.
Notas de matemática (Rio de Janeiro, Brazil) ; no. 103.
İçerik:
Part 1 : An elementary approach to the new generalized functions. Generalized functions ; Generalized analysis ; Some linear Cauchy problems -- Part 2 : Tempered generalized functions. The Fourier transform and the tempered generalized functions ; The convolution product ; Computations on tempered generalized functions -- Part 3 : New solutions of partial differential equations. Linear equations ; Nonlinear equations -- Appendices.
Özet:
The author's previous book Ǹew Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced ǹew 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 & infin; 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.
Tür:
Elektronik Erişim:
ScienceDirect http://www.sciencedirect.com/science/book/9780444877567 ScienceDirect http://www.sciencedirect.com/science/publication?issn=03040208&volume=113Mevcut:*
Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
QA1 .N86 NO. 103 EB | 1191658-1001 | Elsevier E-Kitap Koleksiyonu | Arıyor... |
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