Sparse Approximation with Bases (Advanced Courses in Mathematics - CRM Barcelona)

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9783034808897: Sparse Approximation with Bases (Advanced Courses in Mathematics - CRM Barcelona)
Vom Verlag:

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.

Vom Verlag:

This book is the first one that gives a systematic presentation of recent fundamental results on greedy approximation with respect to bases. Greedy approximation is a very fresh area of research where graduate students may begin their independent research at an early stage. Moreover, greedy approximation, being a theoretical subject, has many connections with applied and computational mathematics. This feature is very attractive for many researchers, including graduate students. On top of this, greedy approximation is developing into a beautiful mathematical theory with deep connections to functional analysis, harmonic analysis, and geometry.  The book is addressed to researchers working in numerical mathematics, harmonic analysis, and functional analysis. It quickly takes the reader from classical results to the frontier of the unknown, but it is written at the level of a graduate course and does not require a broad background for understanding. The book can be used for designing different graduate courses.?

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Vladimir Temlyakov
Verlag: Springer Basel AG Apr 2015 (2015)
ISBN 10: 3034808895 ISBN 13: 9783034808897
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Buchbeschreibung Springer Basel AG Apr 2015, 2015. Taschenbuch. Buchzustand: Neu. 241x169x15 mm. Neuware - This book systematically presents recent fundamental results on greedy approximation with respect to bases. 261 pp. Englisch. Artikel-Nr. 9783034808897

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