Titre : |
Eléments d'analyse fonctionnelle : cours et exercices |
Type de document : |
texte imprimé |
Auteurs : |
Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur |
Editeur : |
Berlin ; London ; Cham : Springer |
Année de publication : |
1999 |
Collection : |
Graduate texts in mathematics |
Importance : |
IX-359 p. |
Format : |
24 cm |
ISBN/ISSN/EAN : |
978-0-387-98524-4 |
Note générale : |
Bibliogr. Index. |
Langues : |
Anglais (eng) |
Mots-clés : |
Analyse fonctionnelle |
Index. décimale : |
517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques |
Résumé : |
The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics. |
Note de contenu : |
I Function Spaces and their Duals
The Space of Continuous Functions on a Compact Set
Locally Compact Spaces and Radon Measures
Hilbert Spaces
L[superscript p] Spaces
II Operators
Spectra
Compact Operators
III Distributions
Definitions and Examples
Multiplication and Differentiation
Convolution of Distributions
The Laplacian on an Open Set |
Eléments d'analyse fonctionnelle : cours et exercices [texte imprimé] / Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur . - Berlin ; London ; Cham : Springer, 1999 . - IX-359 p. ; 24 cm. - ( Graduate texts in mathematics) . ISBN : 978-0-387-98524-4 Bibliogr. Index. Langues : Anglais ( eng)
Mots-clés : |
Analyse fonctionnelle |
Index. décimale : |
517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques |
Résumé : |
The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics. |
Note de contenu : |
I Function Spaces and their Duals
The Space of Continuous Functions on a Compact Set
Locally Compact Spaces and Radon Measures
Hilbert Spaces
L[superscript p] Spaces
II Operators
Spectra
Compact Operators
III Distributions
Definitions and Examples
Multiplication and Differentiation
Convolution of Distributions
The Laplacian on an Open Set |
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