Fourier Interpolation and Time-Frequency Localization
Peer reviewed, Journal article
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Date
2021Metadata
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- Institutt for matematiske fag [2531]
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Original version
10.1007/s00041-021-09861-yAbstract
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.