Nonlinear approximation and its applications

Ronald A. DeVore ()
Additional contact information
Ronald A. DeVore: Texas A& M University

A chapter in Multiscale, Nonlinear and Adaptive Approximation, 2009, pp 169-201 from Springer

Abstract: Abstract I first met Wolfgang Dahmen in 1974 in Oberwolfach. He looked like a high school student to me but he impressed everyone with his talk on whether polynomial operators could produce both polynomial and spectral orders of approximation. We became the best of friends and frequent collaborators. While Wolfgang’s mathematical contributions spread across many disciplines, a major thread in his work has been the exploitation of nonlinear approximation. This article will reflect on Wolfgang’s pervasive contributions to the development of nonlinear approximation and its application. Since many of the contributions in this volume will address specific application areas in some details, my thoughts on these will be to a large extent anecdotal.

Keywords: Greedy Algorithm; Compress Sensing; Besov Space; Wavelet Decomposition; Approximation Space (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-03413-8_6

Ordering information: This item can be ordered from
http://www.springer.com/9783642034138

DOI: 10.1007/978-3-642-03413-8_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().