Applied and Numerical Harmonic Analysis

Representations, Wavelets, and Frames

A Celebration of the Mathematical Work of Lawrence W. Baggett

Editors: Jorgensen, Palle E.T., Merrill, Kathy D., Packer, Judith A. (Eds.)

  • Contributed volume comprised of the work of prominent researchers
  • Discusses both theoretical and applied harmonic analysis including wavelets and frames
  • Includes recent applications to problems in sampling theory and image compression
  • Offers insight into some recent applications, including signal and image processing
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eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4683-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-4682-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis).

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers.

The book is organized into five sections that move from the theoretical underpinnings of the subject, through geometric connections to tilings, lattices and fractals, and concludes with analyses of computational schemes used in communications engineering. Within each section, individual chapters present new research, provide relevant background material, and point to new trends and open questions.

Contributors: C. Benson, M. Bownik, V. Furst, V.W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang.

Table of contents (14 chapters)

  • Some Riemann Sums Are Better Than Others

    Guillemin, Victor W. (et al.)

    Pages 3-12

  • Gelfand Pairs Associated with Finite Heisenberg Groups

    Benson, Chal (et al.)

    Pages 13-31

  • Groups with Atomic Regular Representation

    Taylor, Keith F.

    Pages 33-45

  • Wavelet Transforms and Admissible Group Representations

    Weber, Eric

    Pages 47-67

  • The Density Theorem and the Homogeneous Approximation Property for Gabor Frames

    Heil, Christopher

    Pages 71-102

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4683-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-4682-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Representations, Wavelets, and Frames
Book Subtitle
A Celebration of the Mathematical Work of Lawrence W. Baggett
Editors
  • Palle E.T. Jorgensen
  • Kathy D. Merrill
  • Judith A. Packer
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4683-7
DOI
10.1007/978-0-8176-4683-7
Hardcover ISBN
978-0-8176-4682-0
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XL, 324
Number of Illustrations and Tables
22 b/w illustrations
Topics