Authors:
- First book entirely devoted to finite frames
- Replete with exercises, illustrations, and MATLAB examples
- Well suited as a textbook for a graduate course or seminar on finite frames
- Real-world applications to signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing
- For a broad readership in pure and applied mathematics, engineering, mathematical physics, and signal processing
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
About this book
This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing.
The first book entirely devoted to finite frames, it features extensive exercises and MATLAB examples for classroom use, important examples, and numerous illustrations. The book provides an overview of the field of finite tight frames and discusses future research directions in the field.
The book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.
Reviews
“This book is a recent addition to the literature on frame theory. … This book could serve as a text for an undergraduate course or for a graduate course that aims to propel students to the frontier of research.”(Bernhard G. Bodmann, Mathematical Reviews, February, 2019)
Authors and Affiliations
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Department of Mathematics, University of Auckland, Auckland, New Zealand
Shayne F. D. Waldron
About the author
Bibliographic Information
Book Title: An Introduction to Finite Tight Frames
Authors: Shayne F. D. Waldron
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-4815-2
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2018
Hardcover ISBN: 978-0-8176-4814-5Published: 04 February 2018
Softcover ISBN: 978-1-4939-7920-2Published: 04 June 2019
eBook ISBN: 978-0-8176-4815-2Published: 03 February 2018
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XX, 587
Number of Illustrations: 25 b/w illustrations, 12 illustrations in colour
Topics: Fourier Analysis, Signal, Image and Speech Processing, Applications of Mathematics, Approximations and Expansions, Abstract Harmonic Analysis, Mathematical Methods in Physics