uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Sampling formula for convolution with a prolate
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Physical and Analytical Chemistry, Quantum Chemistry.
2008 (English)In: International Journal of Computer Mathematics, ISSN 0020-7160, E-ISSN 1029-0265, Vol. 85, no 3-4, 487-496 p.Article in journal (Refereed) Published
Abstract [en]

Eigenfunctions of the Finite Fourier Transform, often referred to as 'prolates', are band-limited and highly concentrated at a finite time-interval. Both features are acquired by the convolution of a band-limited function with a prolate. This permits interpolation of such a convolution by the Walter and Shen sampling formula in terms of prolates, although the Fourier transform of the convolution is not necessarily even continuous and the concentration interval is twice as large as that of a prolate. Rigorous error estimates are given as dependent on the truncation limits. The accuracy achieved is tested by numerical examples.

Place, publisher, year, edition, pages
2008. Vol. 85, no 3-4, 487-496 p.
Keyword [en]
sampling formula, band-limited function, time-concentrated function, finite Fourier transform, prolate spheroidal wave functions
National Category
Theoretical Chemistry
URN: urn:nbn:se:uu:diva-149867DOI: 10.1080/00207160701326772ISI: 000254347200016OAI: oai:DiVA.org:uu-149867DiVA: diva2:405885
Available from: 2011-03-24 Created: 2011-03-24 Last updated: 2011-03-24Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text
By organisation
Quantum Chemistry
In the same journal
International Journal of Computer Mathematics
Theoretical Chemistry

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 388 hits
ReferencesLink to record
Permanent link

Direct link