Real Analysis With An Introduction To Wavelets And Applications

Hardcover | December 14, 2004

byDon Hong, Jianzhong Wang, Robert Gardner

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An in-depth look at real analysis and its applications, including an introduction to waveletanalysis, 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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From the Publisher

An in-depth look at real analysis and its applications, including an introduction to waveletanalysis, 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 ...

Format:HardcoverDimensions:392 pages, 9 × 6 × 0.98 inPublished:December 14, 2004Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0123548616

ISBN - 13:9780123548610

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Extra Content

Table of 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

Editorial Reviews

"...the wavelet treatment makes it attractive and gives it an edge over many texts."
David Ruch, Metroploitan 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