Introduction to Hilbert Spaces with Applications

Lokenath Debnath, Piotr Mikusinski

552 pages, parution le 11/01/2002

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Résumé

Continuing on the success of the previous edition, this new, updated revision offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. Introduction to Hilbert Spaces, Second Edition acquaints students with the Lebesque integral, and it 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, as well as problems in approximation theory, nonlinear instability, and bifurcation. Also, the authors have developed a brand new, well-researched chapter on wavelets. Both students and researchers will agree that this is the definitive text on Hilbert space theory.

Contents

Part 1 : Theory

1 Normed Vector Spaces.
2 The Lebesgue Integral.
3 Hilbert Spaces and Orthonormal Systems.
4 Linear Operators on Hilbert Spaces.

Part 2 : Applications

5 Applications: Applications to Integral and Differential Equations.
6 Generalized Functions and Partial Differential Equations.
7 Mathematical Foundations of Quantum Mechanics.
8 Wavelets.
9 Optimization Problems and Other Miscellaneous Applications.

Hints and Answers to Selected Excercises

Bibliography

List of Symbols

Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Academic Press
Auteur(s)	Lokenath Debnath, Piotr Mikusinski
Parution	11/01/2002
Nb. de pages	552
Format	15,5 x 23,5
Couverture	Broché
Poids	944g
Intérieur	Noir et Blanc
EAN13	9780122084362
ISBN13	978-0-12-208436-2