Quasicrystals and Poisson’s summation formula

Nir Lev; Alexander Olevskii

doi:10.1007/s00222-014-0542-z

Quasicrystals and Poisson’s summation formula

Nir Lev, Alexander Olevskii

Bar-Ilan University, Tel Aviv University

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

Abstract

We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in Rⁿ for positive measures.

Original language	English
Pages (from-to)	585-606
Number of pages	22
Journal	Inventiones Mathematicae
Volume	200
Issue number	2
DOIs	https://doi.org/10.1007/s00222-014-0542-z
State	Published - 1 May 2015

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00222-014-0542-z

Cite this

@article{cd59f4b9791d432f8c05efcf5d1761f3,

title = "Quasicrystals and Poisson{\textquoteright}s summation formula",

abstract = "We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in Rn for positive measures.",

author = "Nir Lev and Alexander Olevskii",

note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

year = "2015",

month = may,

day = "1",

doi = "10.1007/s00222-014-0542-z",

language = "الإنجليزيّة",

volume = "200",

pages = "585--606",

journal = "Inventiones Mathematicae",

issn = "0020-9910",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Quasicrystals and Poisson’s summation formula

AU - Lev, Nir

AU - Olevskii, Alexander

PY - 2015/5/1

Y1 - 2015/5/1

N2 - We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in Rn for positive measures.

AB - We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in Rn for positive measures.

UR - http://www.scopus.com/inward/record.url?scp=84939883297&partnerID=8YFLogxK

U2 - 10.1007/s00222-014-0542-z

DO - 10.1007/s00222-014-0542-z

M3 - مقالة

SN - 0020-9910

VL - 200

SP - 585

EP - 606

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 2

ER -

Quasicrystals and Poisson’s summation formula

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this