Frames and Other Bases in Abstract and Function Spaces - Novel Methods in Harmonic Analysis, Volume 1 (Paperback, Softcover reprint of the original 1st ed. 2017)

The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume I is organized around the theme of frames and other bases in abstract and function spaces, covering topics such as: The advanced development of frames, including Sigma-Delta quantization for fusion frames, localization of frames, and frame conditioning, as well as applications to distributed sensor networks, Galerkin-like representation of operators, scaling on graphs, and dynamical sampling. A systematic approach to shearlets with applications to wavefront sets and function spaces. Prolate and generalized prolate functions, spherical Gauss-Laguerre basis functions, and radial basis functions. Kernel methods, wavelets, and frames on compact and non-compact manifolds.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Applied and Numerical Harmonic Analysis
Release date:	August 2018
First published:	2017
Editors:	Isaac Pesenson • Quoc Thong Le Gia • Azita Mayeli • Hrushikesh Mhaskar • Ding-Xuan Zhou
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	438
Edition:	Softcover reprint of the original 1st ed. 2017
ISBN-13:	978-3-319-85692-6
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Computing & IT > Applications of computing > Databases > General Promotions
LSN:	3-319-85692-8
Barcode:	9783319856926

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