dc.contributor.author | Bondarenko, Andrii | |
dc.contributor.author | Radchenko, Danylo | |
dc.contributor.author | Seip, Kristian | |
dc.date.accessioned | 2023-02-17T09:45:11Z | |
dc.date.available | 2023-02-17T09:45:11Z | |
dc.date.created | 2022-11-28T12:59:30Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Constructive approximation. 2022, . | en_US |
dc.identifier.issn | 0176-4276 | |
dc.identifier.uri | https://hdl.handle.net/11250/3051860 | |
dc.description.abstract | We construct a large family of Fourier interpolation bases for functions analytic in a strip symmetric about the real line. Interesting examples involve the nontrivial zeros of the Riemann zeta function and other L-functions. We establish a duality principle for Fourier interpolation bases in terms of certain kernels of general Dirichlet series with variable coefficients. Such kernels admit meromorphic continuation, with poles at a sequence dual to the sequence of frequencies of the Dirichlet series, and they satisfy a functional equation. Our construction of concrete bases relies on a strengthening of Knopp’s abundance principle for Dirichlet series with functional equations and a careful analysis of the associated Dirichlet series kernel, with coefficients arising from certain modular integrals for the theta group. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.relation.uri | https://arxiv.org/pdf/2005.02996.pdf | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Fourier Interpolation with Zeros of Zeta and L-Functions | en_US |
dc.title.alternative | Fourier Interpolation with Zeros of Zeta and L-Functions | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 0 | en_US |
dc.source.journal | Constructive approximation | en_US |
dc.identifier.doi | 10.1007/s00365-022-09599-w | |
dc.identifier.cristin | 2082578 | |
dc.relation.project | Norges forskningsråd: 275113 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |