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Sparse approximation of functions using sums of exponentials and AAK theory

Andersson, Fredrik LU ; Carlsson, Marcus LU and de Hoop, Maarten V. (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.
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author
; and
organization
publishing date
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}},
}