Functional Analysis : An Introduction for Physicists
Nino. Boccara
Bok Engelsk 1990 · Electronic books.
| Utgitt | Saint Louis : : Elsevier Science, , 1990.
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| Omfang | 1 online resource (342 p.)
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| Opplysninger | Description based upon print version of record.. - Front Cover ; Functional Analysis: An Introduction for Physicists; Copyright Page ; Table of Contents ; Foreword; Notations; Chapter 1. Measure and Integration; 1. Measurable Functions; 2. Positive Measures; 3. Integral of Measurable Functions; 4. Lebesgue's Dominated Convergence Theorem; 5. Fubini's Theorem; Appendix; Notes; Problems; Solutions; Chapter 2. Lebesgue Spaces; 1. Convex Functions and Inequalities; 2. Lp and Lp Spaces ; 3. Dense Subspaces in Lp; 4. Fourier Transform; 5. Laplace Transform; Note; Problems; Solutions; Chapter 3. Hilbert Spaces; 1. Scalar Product; 2. Hilbert Spaces. - 3. Orthogonal SystemsAppendix; Notes; Problems; Solutions; Chapter 4. Distributions; 1. Test Functions and Distributions; 2. Differentiation; 3. Convergence in D' ; 4. Convolution; 5. Fourier Series; 6. Fourier Transform of Tempered Distributions; 7. Laplace Transform; Problems; Solutions; Chapter 5. Linear Operators; 1. Preliminaries; 2. Bounded Linear Operators; 3. Compact Operators; 4. Unbounded Linear Operators; 5. Spectral Theory; Appendix; Problems; Solutions; References; Index
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| ISBN | 0121088103
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