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On General Domain Truncated Correlation and Convolution Operators with Finite Rank

Andersson, Fredrik LU and Carlsson, Marcus LU (2015) In Integral Equations and Operator Theory 82(3). p.339-370
Abstract
Truncated correlation and convolution operators is a general operator-class containing popular operators such as Toeplitz (Wiener-Hopf), Hankel and finite interval convolution operators as well as small and big Hankel operators in several variables. We completely characterize the symbols for which such operators have finite rank, and develop methods for determining the rank in concrete cases. Such results are well known for the one-dimensional objects, the first discovered by L. Kronecker during the nineteenth century. We show that the results for the multidimensional case differ in various key aspects.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hankel, Toeplitz, truncated convolutions, finite rank, exponential, functions
in
Integral Equations and Operator Theory
volume
82
issue
3
pages
339 - 370
publisher
Springer
external identifiers
  • wos:000358056400002
  • scopus:84930753464
ISSN
1420-8989
DOI
10.1007/s00020-015-2217-6
language
English
LU publication?
yes
id
0a487f7f-fb6d-4ef9-ab0c-890b24d181ae (old id 7789430)
date added to LUP
2015-08-28 14:17:41
date last changed
2017-10-22 04:23:12
@article{0a487f7f-fb6d-4ef9-ab0c-890b24d181ae,
  abstract     = {Truncated correlation and convolution operators is a general operator-class containing popular operators such as Toeplitz (Wiener-Hopf), Hankel and finite interval convolution operators as well as small and big Hankel operators in several variables. We completely characterize the symbols for which such operators have finite rank, and develop methods for determining the rank in concrete cases. Such results are well known for the one-dimensional objects, the first discovered by L. Kronecker during the nineteenth century. We show that the results for the multidimensional case differ in various key aspects.},
  author       = {Andersson, Fredrik and Carlsson, Marcus},
  issn         = {1420-8989},
  keyword      = {Hankel,Toeplitz,truncated convolutions,finite rank,exponential,functions},
  language     = {eng},
  number       = {3},
  pages        = {339--370},
  publisher    = {Springer},
  series       = {Integral Equations and Operator Theory},
  title        = {On General Domain Truncated Correlation and Convolution Operators with Finite Rank},
  url          = {http://dx.doi.org/10.1007/s00020-015-2217-6},
  volume       = {82},
  year         = {2015},
}