| Title | Sparse approximation of functions using sums of exponentials and AAK theory |
| Authors | Fredrik Andersson, Marcus Carlsson, Maarten V. de Hoop |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Approximation Theory |
| Year | 2011 |
| Volume | 163 |
| Issue | 2 |
| Pages | 213 - 248 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract 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. |
| ISBN/ISSN/Other | ISSN: 1096-0430 (online) |
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