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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Ukrainian Mathematic...arrow_drop_down
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Ukrainian Mathematical Journal
Article . 1995 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1995
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
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Kotel'nikov-Shannon formula for Fourier transforms of distributions with compact supports

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1995 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 47, pages 500-503 (issn: 0041-5995, eissn: 1573-9376, Copyright policy )
Authors: Izvekov, I. G.;

doi: 10.1007/bf01056316

Kotel'nikov-Shannon formula for Fourier transforms of distributions with compact supports

Abstract

Let \(F\) be a distribution with support \((-a,a)\) and order of singularity \(p.\) For the Fourier transform \(\widehat F\) of \(F\), an analogue of the Kotel'nikov formula is established.

Keywords

sampling theorem, Stochastic processes, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Fourier transform, Kotel'nikov formula, Integral transforms in distribution spaces

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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