Sparse Approximation With Bases

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.?