uu.seUppsala universitets publikasjoner
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Sampling formula for convolution with a prolate
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Kemiska sektionen, Institutionen för fysikalisk och analytisk kemi, Kvantkemi.
2008 (engelsk)Inngår i: International Journal of Computer Mathematics, ISSN 0020-7160, E-ISSN 1029-0265, Vol. 85, nr 3-4, s. 487-496Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2008. Vol. 85, nr 3-4, s. 487-496
Emneord [en]
sampling formula, band-limited function, time-concentrated function, finite Fourier transform, prolate spheroidal wave functions
HSV kategori
Identifikatorer
URN: urn:nbn:se:uu:diva-149867DOI: 10.1080/00207160701326772ISI: 000254347200016OAI: oai:DiVA.org:uu-149867DiVA, id: diva2:405885
Tilgjengelig fra: 2011-03-24 Laget: 2011-03-24 Sist oppdatert: 2017-12-11bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Andre lenker

Forlagets fulltekst
Av organisasjonen
I samme tidsskrift
International Journal of Computer Mathematics

Søk utenfor DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 803 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf