Sparse approximation of functions using sums of exponentials and AAK theory
(2011) In Journal of Approximation Theory 163(2). p.213-248- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1778599
- author
- Andersson, Fredrik LU ; Carlsson, Marcus LU and de Hoop, Maarten V.
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Approximation Theory
- volume
- 163
- issue
- 2
- pages
- 213 - 248
- publisher
- Elsevier
- external identifiers
-
- wos:000287269100007
- scopus:78651351895
- ISSN
- 0021-9045
- DOI
- 10.1016/j.jat.2010.09.005
- language
- English
- LU publication?
- yes
- id
- c8fc3c6d-de70-4ea1-aa41-8973fd54a320 (old id 1778599)
- date added to LUP
- 2016-04-01 10:48:35
- date last changed
- 2022-01-26 02:43:58
@article{c8fc3c6d-de70-4ea1-aa41-8973fd54a320, abstract = {{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.}}, author = {{Andersson, Fredrik and Carlsson, Marcus and de Hoop, Maarten V.}}, issn = {{0021-9045}}, language = {{eng}}, number = {{2}}, pages = {{213--248}}, publisher = {{Elsevier}}, series = {{Journal of Approximation Theory}}, title = {{Sparse approximation of functions using sums of exponentials and AAK theory}}, url = {{http://dx.doi.org/10.1016/j.jat.2010.09.005}}, doi = {{10.1016/j.jat.2010.09.005}}, volume = {{163}}, year = {{2011}}, }