Riesz bases of exponentials for convex polytopes with symmetric faces

Alberto Debernardi; Nir Lev

doi:10.4171/JEMS/1158

Riesz bases of exponentials for convex polytopes with symmetric faces

Alberto Debernardi, Nir Lev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	3017-3029
Number of pages	13
Journal	Journal of the European Mathematical Society
Volume	24
Issue number	8
DOIs	https://doi.org/10.4171/JEMS/1158
State	Published - 2022

Bibliographical note

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

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

Keywords

Riesz bases
convex polytopes
sampling and interpolation

Access to Document

10.4171/JEMS/1158

Cite this

@article{dbdb9238cbbd46dfbf5d76f4d7698076,

title = "Riesz bases of exponentials for convex polytopes with symmetric faces",

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.",

keywords = "Riesz bases, convex polytopes, sampling and interpolation",

author = "Alberto Debernardi and Nir Lev",

year = "2022",

doi = "10.4171/JEMS/1158",

language = "אנגלית",

volume = "24",

pages = "3017--3029",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

publisher = "European Mathematical Society Publishing House",

number = "8",

}

TY - JOUR

T1 - Riesz bases of exponentials for convex polytopes with symmetric faces

AU - Debernardi, Alberto

AU - Lev, Nir

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Riesz bases

KW - convex polytopes

KW - sampling and interpolation

UR - http://www.scopus.com/inward/record.url?scp=85130154448&partnerID=8YFLogxK

U2 - 10.4171/JEMS/1158

DO - 10.4171/JEMS/1158

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85130154448

SN - 1435-9855

VL - 24

SP - 3017

EP - 3029

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 8

ER -

Riesz bases of exponentials for convex polytopes with symmetric faces

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this