Finite frame theory : a complete introduction to overcompleteness : AMS short course Finite Frame Theory, a Complete Introduction to Overcompleteness, January 8-9, 2015, San Antonio, Texas

Kasso A. Okoudjou, editor
Bok · Engelsk · 2016 William J. Whalen

Medvirkende	Okoudjou, Kasso A.
Omfang	xiii, 245 sider : illustrasjoner
Opplysninger	Brief 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.
Emner	Frames (Vector analysis) Hilbert space Approximations and expansions -- Approximations and expansions -- Approximation by arbitrary linear expressions. Convex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces). Vis mer... Convex and discrete geometry -- General convexity -- Convex sets in Convex and discrete geometry -- Polytopes and polyhedra -- $n$-dimensional polytopes. Convex and discrete geometry -- Polytopes and polyhedra -- Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Trigonometric approximation. Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- General harmonic expansions, frames. Information and communication, circuits -- Communication, information -- Signal theory (characterization, reconstruction, filtering, etc.). Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Inverse problems. Numerical analysis -- Nonlinear algebraic or transcendental equations -- Systems of equations. Operations research, mathematical programming -- Mathematical programming -- Nonconvex programming, global optimization. Operator theory -- Special classes of linear operators -- None of the above, but in this section.
Dewey	512/.5
ISBN	1470420198 (alk. paper). - 9781470420192 (alk. paper)