Shayne F. D. Waldron

An Introduction to Finite Tight Frames (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 587
• Erscheinungstermin: 3. Februar 2018
• Englisch
• ISBN-13: 9780817648152
• Artikelnr.: 54254851

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,

Inhaltsangabe

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.-

Rezensionen

"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)