Applied and Numerical Harmonic Analysis

Framelets and Wavelets

Algorithms, Analysis, and Applications

Authors: Han, Bin

  • Algorithmic approach to framelets and wavelets with self-contained proofs and illustrative examples
  • Comprehensive treatments on refinable vector functions and theory of multiframelets/multiwavelets
  • Recent advances on wavelet-based applications such as directional framelets for image processing
see more benefits

Buy this book

eBook 83,29 €
price for India (gross)
  • ISBN 978-3-319-68530-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 99,99 €
price for India (gross)
  • ISBN 978-3-319-68529-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide.

As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises.

Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets.

Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.

About the authors

Bin Han been working in the area of applied harmonic analysis and approximation theory, in particular, on wavelets and framelets with applications since 1992. He received his PhD in mathematics at the University of Alberta in 1998 and worked as a PDF at Princeton University in 1999. Bin Han is professor of mathematics at the University of Alberta. 

Table of contents (7 chapters)

  • Discrete Framelet Transforms

    Han, Bin

    Pages 1-66

  • Wavelet Filter Banks

    Han, Bin

    Pages 67-151

  • Framelet Filter Banks

    Han, Bin

    Pages 153-244

  • Analysis of Affine Systems and Dual Framelets

    Han, Bin

    Pages 245-370

  • Analysis of Refinable Vector Functions

    Han, Bin

    Pages 371-483

Buy this book

eBook 83,29 €
price for India (gross)
  • ISBN 978-3-319-68530-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 99,99 €
price for India (gross)
  • ISBN 978-3-319-68529-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Framelets and Wavelets
Book Subtitle
Algorithms, Analysis, and Applications
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-68530-4
DOI
10.1007/978-3-319-68530-4
Hardcover ISBN
978-3-319-68529-8
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XXXIII, 724
Number of Illustrations and Tables
73 b/w illustrations
Topics