An Introduction to Finite Tight Frames

di Shayne F. D. Waldron
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Shayne F. D. Waldron An Introduction to Finite Tight Frames
Shayne F. D. Waldron - An Introduction to Finite Tight Frames

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Descrizione

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. 


Featuring exercises and MATLAB examples in each chapter, 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.

Contributori

Scrittore:
Shayne F. D. Waldron

Ulteriori informazioni

Illustrations Note:
XX, 587 p. 37 illus., 12 illus. in color.
Indice:

Preface.- Tight Frames.- Frames.- Canonical Coordinates for Vector Spaces and Affine Spaces.- Combining and Decomposing Frames.- Variational Characterizations of Tight Frames.- The Algebraic Variet of Tight Frames.- Projective Unitary Equivalence and Fusion Frames.- Symmetries of Tight Frames.- Group Frames.- Harmonic Frames.- Equiangular and Grassmannian Frames.- Tight Frames Generated by Nonabelian Groups.- Weyl-Heisenberg SICs.- Tight Frames of Orthogonal Polynomials on the Simplex.- Continuous Tight Frames for Finite Dimensional Spaces.- Solutions.- References.- Index.- 

Commenti:
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

Tipo multimediale:
Copertina rigida
Editore:
Springer US
Biografia:
Shayne Waldron is a senior lecturer in the Mathematics Department of the University of Auckland. He received his Ph.D. in Mathematics from the University of Wisconsin–Madison and served as a postdoctoral fellow at the Israel Institute of Technology. His areas of research include approximation theory and numerical analysis and the construction of tight frames from abstract groups, 
Recensione:
"This book gives a well-written and accessible introduction to the rapidly developing area of finite tight frames. ... this book is more than a textbook since it presents many advanced results that give an overview of the current state of the art, which will be useful for researchers who study finite tight frames." (Pierluigi Vellucci, zbMATH 1388.42078, 2018)

"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)


Lingua:
Inglese
Edizione:
1st ed. 2018
Numero di Pagine:
587
Sommario:
The theory and applications of finite tight frames has developed rapidly in recent years. This text offers an overview of the field and discusses future research directions. It includes exercises, MATLAB examples for classroom use, and numerous illustrations.

Dati Principali

Tipologia prodotto:
Libro rilegato
Data di pubblicazione:
4 gennaio 2018
Dimensioni del collo:
0.242 x 0.164 x 0.038 m; 1.054 kg
GTIN:
09780817648145
DUIN:
QFJGPH4P87E
86,81 €
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