Sparse approximation of functions using sums of exponentials and AAK theory
Författare
Summary, in English
We consider the problem of approximating functions by sums of few exponentials functions, either on an interval or on the positive half-axis. We study both continuous and discrete cases, i.e. when the function is replaced by a number of equidistant samples. Recently, an algorithm has been constructed by Beylkin and Monzón for the discrete case. We provide a theoretical framework for understanding how this algorithm relates to the continuous case.
Avdelning/ar
Publiceringsår
2011
Språk
Engelska
Sidor
213-248
Publikation/Tidskrift/Serie
Journal of Approximation Theory
Volym
163
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Computer Vision and Robotics (Autonomous Systems)
- Mathematics
Status
Published
Forskningsgrupp
- Harmonic Analysis and Applications
ISBN/ISSN/Övrigt
- ISSN: 0021-9045