Real Analysis with an Introduction to Wavelets and Applications

Real Analysis with an Introduction to Wavelets and Applications

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Overview

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.
  • 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

Product Details

ISBN-13: 9780080540313
Publisher: Elsevier Science
Publication date: 12/31/2004
Sold by: Barnes & Noble
Format: NOOK Book
Pages: 392
File size: 8 MB

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

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