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Record Nr. |
UNISALENTO991000646379707536 |
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Autore |
Aubin, Jean Pierre |
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Titolo |
Applied functional analysis / Jean-Pierre Aubin ; exercises by Bernard Cornet and Jean-Michel Lasry ; translated by Carole Labrousse |
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Pubbl/distr/stampa |
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ISBN |
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Edizione |
[2nd ed.] |
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Descrizione fisica |
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Collana |
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Pure and applied mathematics. A Wiley-Interscience series of texts, monographs, and tracts, 0079-8185 |
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Classificazione |
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Disciplina |
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Soggetti |
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Functional analysis |
Hilbert space |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"A Wiley-Interscience publication" |
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Nota di bibliografia |
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Includes bibliographical references (p. 488-491) and index |
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Nota di contenuto |
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Introduction: A Guide to the Reader ; 1. The Projection Theorem ; 2. Theorems on Extension and Separation ; 3. Dual Spaces and Transposed Operators ; 4. The Banach and the Banach-Steinhaus Theorem ; 5. Construction of Hilbert Spaces ; 6. L[superscript 2] Spaces and Convolution Operators ; 7. Sobolev Spaces of Functions of One Variable ; 8. Some Approximation Procedures in Spaces of Functions ; 9. Sobolev Spaces of Functions of Several Variables and the Fourier Transform ; 10. Introduction to Set-Valued Analysis and Convex Analysis ; 11. Elementary Spectral Theory ; 12. Hilbert-Schmidt Operators and Tensor Products ; 13. Boundary Value Problems ; 14. Differential-Operational Equations and Semigroups of Operators ; 15. Viability Kernels and Capture Basins ; 16. First-Order Partial Differential Equations ; Selection of Results. |
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