Introduction to Hilbert Spaces with Applications
Lokenath Debnath, Piotr Mikusinski
Résumé
Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory.
Sommaire
- Normed Vector Spaces
- The Lebesgue Integral
- Hilbert Spaces and Orthonormal Systems
- Linear Operators on Hilbert Spaces
- Applications to Integral and Differential Equations
- Generalized Functions and Partial Differential Equations
- Mathematical Foundations of Quantum Mechanics
- Wavelets and Wavelet Transforms
- Optimization Problems and Other Miscellaneous Applications
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Elsevier, Academic Press |
Auteur(s) | Lokenath Debnath, Piotr Mikusinski |
Parution | 23/11/2005 |
Édition | 3eme édition |
Nb. de pages | 600 |
Format | 15,5 x 23,5 |
Couverture | Relié |
Poids | 1050g |
Intérieur | Noir et Blanc |
EAN13 | 9780122084386 |
ISBN13 | 978-0-12-208438-6 |
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