Real Analysis with an Introduction to Wavelets and Applications

Author: Hong   Don;Wang   Jianzhong;Gardner   Robert  

Publisher: Elsevier Science‎

Publication year: 2004

E-ISBN: 9780080540313

P-ISBN(Paperback): 9780123548610

P-ISBN(Hardback):  9780123548610

Subject: O241 数值分析;O29 applied mathematics

Language: ENG

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Description

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

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Contents

pp.:  8 – 14

Preface

pp.:  14 – 18

Chapter I. Fundamentals

pp.:  18 – 50

Chapter 2. Measure Theory

pp.:  50 – 82

Chapter 3. The Lebesgue integral

pp.:  82 – 106

Chapter 4. Special Topics of Lebesgue Integral and Applications

pp.:  106 – 132

Chapter 5. Vector Spaces, Hilbert Spaces, and the L2 Space

pp.:  132 – 172

Chapter 6. Fourier Analysis

pp.:  172 – 226

Chapter 7. Orthonormal Wavelet Bases

pp.:  226 – 288

Chapter 8. Compactly Supported Wavelets

pp.:  288 – 332

Chapter 9. Wavelets In Signal Processing

pp.:  332 – 370

Appendix

pp.:  370 – 374

Biliography

pp.:  374 – 378

Index

pp.:  378 – 388

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