Titre : |
Elements of functional analysis |
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 num. 192 |
Importance : |
IX, 359 p. |
Présentation : |
ill. |
Format : |
24 cm. |
ISBN/ISSN/EAN : |
978-0-387-98524-4 |
Note générale : |
Trad. de : "Eléments d'analyse fonctionnelle"
Bibliogr. p. [385]-386. - Index |
Langues : |
Anglais (eng) Langues originales : Français (fre) |
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 : |
Summary :
I. Function Spaces and their Duals
1. The Space of Continuous Functions on a Compact Set
2. Locally Compact Spaces and Radon Measures
3. Hilbert Spaces
4. Lp Spaces
II. Operators
5. Spectra
6. Compact Operators
III. Distributions
7. Definitions and Examples
8. Multiplication and Differentiation
9. Convolution of Distributions
10. The Laplacian on an Open Set |
Elements of functional analysis [texte imprimé] / Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur . - Berlin ; London ; Cham : Springer, 1999 . - IX, 359 p. : ill. ; 24 cm.. - ( Graduate texts in mathematics; 192) . ISBN : 978-0-387-98524-4 Trad. de : "Eléments d'analyse fonctionnelle"
Bibliogr. p. [385]-386. - Index Langues : Anglais ( eng) Langues originales : Français ( fre)
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 : |
Summary :
I. Function Spaces and their Duals
1. The Space of Continuous Functions on a Compact Set
2. Locally Compact Spaces and Radon Measures
3. Hilbert Spaces
4. Lp Spaces
II. Operators
5. Spectra
6. Compact Operators
III. Distributions
7. Definitions and Examples
8. Multiplication and Differentiation
9. Convolution of Distributions
10. The Laplacian on an Open Set |
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