An Introduction to Finite Tight Frames

Shayne F. D. Waldron (Autor)

Buch | Softcover

587 Seiten

2019 | Softcover reprint of the original 1st ed. 2018
Birkhauser Boston Inc (Verlag)
978-1-4939-7920-2 (ISBN)

Artikel merken

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.

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,

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.-

Erscheinungsdatum	18.03.2019
Reihe/Serie	Applied and Numerical Harmonic Analysis
Zusatzinfo	12 Illustrations, color; 25 Illustrations, black and white; XX, 587 p. 37 illus., 12 illus. in color.
Verlagsort	Secaucus
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Elektrotechnik / Energietechnik
Schlagworte	finite tight frames • harmonic frames • Heisenberg frames • MATLAB • multivariate orthogonal polynomials • Quantum Information Theory • Remote Sensing • Signal Processing • Tight frames
ISBN-10	1-4939-7920-5 / 1493979205
ISBN-13	978-1-4939-7920-2 / 9781493979202
Zustand	Neuware