LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	511.4
Title	Sparse Approximation with Bases ([EBook]) / by Vladimir Temlyakov ; edited by Sergey Tikhonov.
Author	Temlyakov, Vladimir , 1953-
Added Personal Name	Tikhonov, Sergey
Other name(s)	SpringerLink (Online service)
Publication	Basel : Springer Basel , 2015
Physical Details	XI, 261 p. : online resource.
Series	Advanced courses in mathematics, CRM Barcelona 2297-0304
ISBN	9783034808903
Summary Note	This book systematically presents recent fundamental results on greedy approximation with respect to bases. Motivated by numerous applications, the last decade has seen great successes in studying nonlinear sparse approximation. Recent findings have established that greedy-type algorithms are suitable methods of nonlinear approximation in both sparse approximation with respect to bases and sparse approximation with respect to redundant systems. These insights, combined with some previous fundamental results, form the basis for constructing the theory of greedy approximation. Taking into account the theoretical and practical demand for this kind of theory, the book systematically elaborates a theoretical framework for greedy approximation and its applications. The book addresses the needs of researchers working in numerical mathematics, harmonic analysis, and functional analysis. It quickly takes the reader from classical results to the latest frontier, but is written at the level of a graduate course and does not require a broad background in the field.:
Contents note	Introduction -- Lebesgue-type inequalities for greedy approximation with respect to some classical bases -- Quasi-greedy bases and Lebesgue-type inequalities -- Almost greedy bases and duality -- Greedy approximation with respect to the trigonometric system -- Greedy approximation with respect to dictionaries -- Appendix.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0890-3
Links to Related Works	Subject References: Algorithms . Approximation theory . Approximations and Expansions . Functional Analysis . Mathematics . Authors: editor . Temlyakov, Vladimir 1953- . Tikhonov, Sergey . Corporate Authors: SpringerLink (Online service) . Series: Advanced courses in mathematics, CRM Barcelona . Classification: 511.4 .

Catalogue Display

Sparse Approximation with Bases

Reviews