Applied and Numerical Harmonic Analysis

Finite Frames

Theory and Applications

Editors: Casazza, Peter G., Kutyniok, Gitta (Eds.)

    • First book on the topic
    • Unified presentation across all contributions to the volume
    • Comprehensive coverage of theory and applications of finite frames
    • Useful for a wide range of mathematicians, computer scientists, and engineers

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-8373-3
  • 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 978-0-8176-8372-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics.  More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas.  The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject.

Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications.  With carefully selected contributions written by highly experienced researchers, it covers topics including:

* Finite Frame Constructions;
* Optimal Erasure Resilient Frames;
* Quantization of Finite Frames;
* Finite Frames and Compressed Sensing;
* Group and Gabor Frames;
* Fusion Frames.

Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory.

With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more.  It is designed to be used as a supplemental textbook, self-study guide, or reference book.

Table of contents (13 chapters)

  • Introduction to Finite Frame Theory

    Casazza, Peter G. (et al.)

    Pages 1-53

  • Constructing Finite Frames with a Given Spectrum

    Fickus, Matthew (et al.)

    Pages 55-107

  • Spanning and Independence Properties of Finite Frames

    Casazza, Peter G. (et al.)

    Pages 109-139

  • Algebraic Geometry and Finite Frames

    Cahill, Jameson (et al.)

    Pages 141-170

  • Group Frames

    Waldron, Shayne

    Pages 171-191

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-8373-3
  • 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 978-0-8176-8372-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Finite Frames
Book Subtitle
Theory and Applications
Editors
  • Peter G. Casazza
  • Gitta Kutyniok
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8373-3
DOI
10.1007/978-0-8176-8373-3
Hardcover ISBN
978-0-8176-8372-6
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XVI, 485
Number of Illustrations and Tables
15 b/w illustrations, 20 illustrations in colour
Topics