000 03079cam a22002658i 4500
001 137669
003 ISI Library, Kolkata
005 20170516120912.0
008 160120s2016 riu b 101 0 eng
020 _a9781470420192 (alk. paper)
040 _aISI Library
082 0 4 _a510.6AM
_223
_bAm512
111 2 _aAMS short course Finite Frame Theory, a Complete Introduction to Overcompleteness
_c(San Antonio, Texas
_d8-9 Jan, 2015)
245 0 0 _aFinite frame theory :
_ba complete introduction to overcompleteness /
_c[edited by] Kasso A. Okoudjou.
260 _aProvidence :
_bAmerican Mathematical Society,
_c©2016.
300 _axiii, 245 pages :
_billustrations ;
_c27 cm.
490 0 _aProceedings of symposia in applied mathematics ;
_vv 73.
504 _aIncludes bibliographical references and index.
505 0 _aBrief Introduction to Hilbert Space Frame Theory and its Applications / Peter G. Casazza and Richard G. Lynch -- Unit norm tight frames in finite-dimensional spaces / Dustin G. Mixon -- Algebro-Geometric Techniques and Geometric Insights for Finite Frames / Nate Strawn -- Preconditioning techniques in frame theory and probabilistic frames / Kasso A. Okoudjou -- Quantization, finite frames, and error diffusion / Alexander Dunkel [and 3 others] -- Frames and Phaseless Reconstruction / Radu Balan -- Compressed sensing and dictionary learning / Guangliang Chen and Deanna Needell.
520 _aFrames are overcomplete sets of vectors that can be used to stably and faithfully decompose and reconstruct vectors in the underlying vector space. Frame theory stands at the intersection of many areas in mathematics such as functional and harmonic analysis, numerical analysis, matrix theory, numerical linear algebra, algebraic and differential geometry, probability, statistics, and convex geometry. At the same time its applications in engineering, medicine, computer science, and quantum computing are motivating new research problems in applied and pure mathematics. This volume is based on lectures delivered at the 2015 AMS Short Course "Finite Frame Theory: A Complete Introduction to Overcompleteness", held January 8-9, 2015 in San Antonio, TX. Mostly written in a tutorial style, the seven chapters contained in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications. Carefully assembled, the volume quickly introduces the non-expert to the basic tools and techniques of frame theory. It then moves to develop many recent results in the area and presents some important applications. As such, the volume is designed for a diverse audience including researchers in applied and computational harmonic analysis, as well as engineers and graduate students.
650 0 _aFrames (Vector analysis)
_vCongresses.
650 0 _aHilbert space
_vCongresses.
700 1 _aOkoudjou, Kasso A.,
_eeditor
942 _2ddc
_cBK
999 _c423567
_d423567