TY  - BOOK
AU  - Casazza, Peter G.
AU  - Casazza, Peter G
AU  -  Kutyniok, Gitta
TI  - Finite frames : : theory and applications
T2  - 	Applied and numerical harmonic analysis
SN  - 9780817683726
U1  - 515.63 CAS 
PY  - 2013///
CY  - New York 
PB  - : Birkhäuser
KW  - Mathematics
KW  - Analysis
KW  - Computer vision
KW  - Fourier analysis
KW  - Operator theory
KW  - Approximations and Expansions
KW  - Applications of Mathematics
N1  - Introduction to Finite Frame Theory / Peter G. Casazza, Gitta Kutyniok and Friedrich Philipp --
Constructing Finite Frames with a Given Spectrum / Matthew Fickus, Dustin G. Mixon and Miriam J. Poteet --
Spanning and Independence Properties of Finite Frames / Peter G. Casazza and Darrin Speegle --
Algebraic Geometry and Finite Frames / Jameson Cahill and Nate Strawn --
Group Frames / Shayne Waldron --
Gabor Frames in Finite Dimensions / Götz E. Pfander --
Frames as Codes / Bernhard G. Bodmann --
Quantization and Finite Frames / Alexander M. Powell, Rayan Saab and Özgür Yılmaz --
Finite Frames for Sparse Signal Processing / Waheed U. Bajwa and Ali Pezeshki --
Finite Frames and Filter Banks / Matthew Fickus, Melody L. Massar and Dustin G. Mixon --
The Kadison-Singer and Paulsen Problems in Finite Frame Theory / Peter G. Casazza --
Probabilistic Frames: An Overview / Martin Ehler and Kasso A. Okoudjou --
Fusion Frames / Peter G. Casazza and Gitta Kutyniok
N2  - Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: Finite Frame Constructions; Optimal Erasure Resilient Frames; Quantization of Finite Frames; Finite Frames and Compressed Sensing; Group and Gabor Frames; Fusion Frames."--Publisher's website
ER  -