On General Domain Truncated Correlation and Convolution Operators with Finite Rank
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/7789430
- author
- Andersson, Fredrik LU and Carlsson, Marcus LU
- organization
- publishing date
- 2015
- 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
- 2016-04-01 14:40:34
- date last changed
- 2022-04-30 03:08:24
@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}}, keywords = {{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}}, doi = {{10.1007/s00020-015-2217-6}}, volume = {{82}}, year = {{2015}}, }