Wavelets and Other Orthogonal Systems
eBook - ePub

Wavelets and Other Orthogonal Systems

  1. 392 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Wavelets and Other Orthogonal Systems

About this book

A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics. With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.

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Yes, you can access Wavelets and Other Orthogonal Systems by Gilbert G. Walter,Xiaoping Shen in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Halftitle Page
  3. Studies in Advanced Mathematics
  4. Title Page
  5. Copyright Page
  6. Preface to first edition
  7. Preface to second edition
  8. Table of Contents
  9. List of Figures
  10. Chapter 1: Orthogonal Series
  11. Chapter 2: A Primer on Tempered Distributions
  12. Chapter 3: An Introduction to Orthogonal Wavelet Theory
  13. Chapter 4: Convergence and Summability of Fourier Series
  14. Chapter 5: Wavelets and Tempered Distributions
  15. Chapter 6: Orthogonal Polynomials
  16. Chapter 7: Other Orthogonal Systems
  17. Chapter 8: Pointwise Convergence of Wavelet Expansions
  18. Chapter 9: Shannon Sampling Theorem in Wavelet Subspaces
  19. Chapter 10: Extensions of Wavelet Sampling Theorems
  20. Chapter 11: Translation and Dilation Invariance in Orthogonal Systems
  21. Chapter 12: Analytic Representations Via Orthogonal Series
  22. Chapter 13: Orthogonal Series in Statistics
  23. Chapter 14: Orthogonal Systems and Stochastic Processes
  24. Bibliography
  25. Index