Fourier Interpolation and Time-Frequency Localization

dc.contributor.author	Kulikov, Aleksei
dc.date.accessioned	2022-10-13T11:39:11Z
dc.date.available	2022-10-13T11:39:11Z
dc.date.created	2021-12-09T13:39:21Z
dc.date.issued	2021
dc.identifier.issn	1069-5869
dc.identifier.uri	https://hdl.handle.net/11250/3025897
dc.description.abstract	We prove that under very mild conditions for any interpolation formula f(x)=∑λ∈Λf(λ)aλ(x)+∑μ∈Mf^(μ)bμ(x) we have a lower bound for the counting functions nΛ(R1)+nM(R2)≥4R1R2−Clog2(4R1R2) which very closely matches recent interpolation formulas of Radchenko and Viazovska and of Bondarenko, Radchenko and Seip.	en_US
dc.language.iso	eng	en_US
dc.publisher	Springer	en_US
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	Fourier Interpolation and Time-Frequency Localization	en_US
dc.type	Peer reviewed	en_US
dc.type	Journal article	en_US
dc.description.version	publishedVersion	en_US
dc.source.volume	27	en_US
dc.source.journal	Journal of Fourier Analysis and Applications	en_US
dc.source.issue	3	en_US
dc.identifier.doi	10.1007/s00041-021-09861-y
dc.identifier.cristin	1966678
cristin.ispublished	true
cristin.fulltext	postprint
cristin.qualitycode	2

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