On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces

Alberto Debernardi; Nir Lev

doi:10.1007/978-3-030-74417-5_11

On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces

Alberto Debernardi, Nir Lev

Department of Mathematics

Bar-Ilan University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This is an extended abstract of our recent paper [3] where we prove that for any convex polytope Ω ⊂ R^d 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 language	English
Title of host publication	Trends in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	69-72
Number of pages	4
DOIs	https://doi.org/10.1007/978-3-030-74417-5_11
State	Published - 2021

Publication series

Name	Trends in Mathematics
Volume	12
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-030-74417-5_11

Cite this

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On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces

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