An Introduction to Finite Tight Frames

• Κύριος συγγραφέας: Waldron, Shayne F. D. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Applied and Numerical Harmonic Analysis,
• Θέματα: Fourier analysis.; Signal processing.; Image processing.; Speech processing systems.; Applied mathematics.; Engineering mathematics.; Approximation theory.; Harmonic analysis.; Physics.; Fourier Analysis.; Signal, Image and Speech Processing.; Applications of Mathematics.; Approximations and Expansions.; Abstract Harmonic Analysis.; Mathematical Methods in Physics.

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 o...

Πίνακας περιεχομένων:

• 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
• .