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Real Analysis with an Introduction to Wavelets and Applications
Don Hong (Author), Jianzhong Wang (Author), Robert Gardner (Author)
9780123548610, Elsevier Science
Hardback, published 31 December 2004
392 pages
22.9 x 15.1 x 2.6 cm, 0.72 kg
"...the wavelet treatment makes it attractive and gives it an edge over many texts." --David Ruch, Metropolitan State College "The exercises I looked at were at a much more appropriate level than my current text. This book provides more exposition and more applications than traditional real analysis texts." --Doug Hardin, Vanderbilt University
Real Analysis with an Introduction to Wavelets and Applications is an in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications.
Preface
1. Fundamentals
2. Measure Theory
3. The Lebesgue Integral
4. Special Topics of Lebesgue Integral & Applications
5. Vector Spaces, Hilbert Spaces, and the L2 Space
6. Fourier Analysis
7. Orthonormal Wavelet Bases
8. Compactly Supported Wavelets
9. Wavelets in Signal Processing
Appendix A: List of Symbols
Subject Areas: Applied mathematics [PBW], Real analysis, real variables [PBKB]
