Riesz bases of exponentials for convex polytopes with symmetric faces

Alberto Debernardi, Nir Lev

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We prove that for any convex polytope Ω c Rd which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space L2.Ω/. The result is new in all dimensions d greater than one.

Original languageEnglish
Pages (from-to)3017-3029
Number of pages13
JournalJournal of the European Mathematical Society
Volume24
Issue number8
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 European Mathematical Society Publishing House. All rights reserved.

Funding

Funding. Research supported by ISF Grants No. 447/16 and No. 227/17 and ERC Starting Grant No. 713927.

FundersFunder number
Horizon 2020 Framework Programme713927
European Commission
Israel Science Foundation227/17, 447/16

    Keywords

    • Riesz bases
    • convex polytopes
    • sampling and interpolation

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