Real analysis with an introduction to wavelets and applications
Title:
Real analysis with an introduction to wavelets and applications
Author:
Hong, Don.
ISBN:
9780123548610
Publication Information:
Amsterdam ; Boston : Elsevier Academic Press, c2005.
Physical Description:
xv, 369 p. : ill. ; 24 cm.
Contents:
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.
Abstract:
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. *The text is relatively elementary at the start, but the level of difficulty steadily increases *The book contains many clear, detailed examples, case studies and exercises *Many real world applications relating to measure theory and pure analysis *Introduction to wavelet analysis.
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Electronic Access:
ScienceDirect An electronic book accessible through the World Wide Web; click for informationPublisher description http://www.loc.gov/catdir/enhancements/fy0627/2005295393-d.html
Table of contents http://www.loc.gov/catdir/enhancements/fy0627/2005295393-t.html