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- catalog abstract ""The Second Edition of this successful text offers a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis. It includes a simple introduction to the Lebesgue integral and a new chapter on wavelets. The book provides the reader with revised examples and updated diverse applications to differential and integral equations with clear explanations of these methods as applied to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation."--Jacket.".
- catalog contributor b11019542.
- catalog contributor b11019543.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description ""The Second Edition of this successful text offers a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis. It includes a simple introduction to the Lebesgue integral and a new chapter on wavelets. The book provides the reader with revised examples and updated diverse applications to differential and integral equations with clear explanations of these methods as applied to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation."--Jacket.".
- catalog description "Includes bibliographical references and index.".
- catalog description "pt. 1. Theory. Ch. 1. Normed Vector Spaces. Ch. 2. The Lebesgue Integral. Ch. 3. Hilbert Spaces and Orthonormal Systems. Ch. 4. Linear Operators on Hilbert Spaces -- pt. 2. Applications. Ch. 5. Applications to Integral and Differential Equations. Ch. 6. Generalized Functions and Partial Differential Equations. Ch. 7. Mathematical Foundations of Quantum Mechanics. Ch. 8. Wavelets. Ch. 9. Optimization Problems and Other Miscellaneous Applications.".
- catalog extent "xviii, 551 p. :".
- catalog hasFormat "Introduction to Hilbert spaces with applications.".
- catalog identifier "0122084365".
- catalog isFormatOf "Introduction to Hilbert spaces with applications.".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "San Diego : Academic Press,".
- catalog relation "Introduction to Hilbert spaces with applications.".
- catalog subject "515/.733 21".
- catalog subject "Hilbert space.".
- catalog subject "QA322.4 .D43 1998".
- catalog tableOfContents "pt. 1. Theory. Ch. 1. Normed Vector Spaces. Ch. 2. The Lebesgue Integral. Ch. 3. Hilbert Spaces and Orthonormal Systems. Ch. 4. Linear Operators on Hilbert Spaces -- pt. 2. Applications. Ch. 5. Applications to Integral and Differential Equations. Ch. 6. Generalized Functions and Partial Differential Equations. Ch. 7. Mathematical Foundations of Quantum Mechanics. Ch. 8. Wavelets. Ch. 9. Optimization Problems and Other Miscellaneous Applications.".
- catalog title "Introduction to Hilbert spaces with applications / Lokenath Debnath, Piotr Mikusiński.".
- catalog type "text".