Real Analysis With An Introduction To Wavelets And Applications by Don HongReal Analysis With An Introduction To Wavelets And Applications by Don Hong

Real Analysis With An Introduction To Wavelets And Applications

byDon Hong, Jianzhong Wang, Robert Gardner

Hardcover | December 14, 2004

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Real Analysis with an Introduction to Wavelets and Applicationsis 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
Title:Real Analysis With An Introduction To Wavelets And ApplicationsFormat: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


Table of Contents

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