An Introduction to Finite Tight Frames - Waldron, Shayne F. D.
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
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, 
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"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)