Applied functional analysis / Jean-Pierre Aubin ; exercises by Bernard Cornet and Jean-Michel Lasry ; translated by Carole Labrousse

Por: Aubin, Jean PierreTipo de material: TextoTextoDetalles de publicación: New York : Wiley, [2000] Edición: 2nd edDescripción: xvi, 495 pISBN: 9780471179764Tema(s): Functional analysis | Hilbert space
Contenidos:
Front Matter -- Introduction: A Guide to the Reader -- The Projection Theorem -- Theorems on Extension and Separation -- Dual Spaces and Transposed Operators -- The Banach Theorem and the Banach-Steinhaus Theorem -- Construction of Hilbert Spaces -- L Spaces and Convolution Operators -- Sobolev Spaces of Functions of One Variable -- Some Approximation Procedures in Spaces of Functions -- Sobolev Spaces of Functions of Several Variables and the Fourier Transform -- Introduction to Set-Valued Analysis and Convex Analysis -- Elementary Spectral Theory -- Hilbert-Schmidt Operators and Tensor Products -- Boundary Value Problems -- Differential-Operational Equations and Semigroups of Operators -- Viability Kernels and Capture Basins -- First-Order Partial Differential Equations -- Selection of Results -- Exercises -- Bibliography -- Index -- Pure and Applied Mathematics
Resumen: Ejemplar Fondo Bibl. Antonio Aizpuru Tomás
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Includes bibliographical references (pages 488-491) and index

Front Matter -- Introduction: A Guide to the Reader -- The Projection Theorem -- Theorems on Extension and Separation -- Dual Spaces and Transposed Operators -- The Banach Theorem and the Banach-Steinhaus Theorem -- Construction of Hilbert Spaces -- L Spaces and Convolution Operators -- Sobolev Spaces of Functions of One Variable -- Some Approximation Procedures in Spaces of Functions -- Sobolev Spaces of Functions of Several Variables and the Fourier Transform -- Introduction to Set-Valued Analysis and Convex Analysis -- Elementary Spectral Theory -- Hilbert-Schmidt Operators and Tensor Products -- Boundary Value Problems -- Differential-Operational Equations and Semigroups of Operators -- Viability Kernels and Capture Basins -- First-Order Partial Differential Equations -- Selection of Results -- Exercises -- Bibliography -- Index -- Pure and Applied Mathematics

Ejemplar Fondo Bibl. Antonio Aizpuru Tomás

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