Riesz bases of exponentials on multiband spectra

Nir Lev

doi:10.1090/S0002-9939-2012-11138-4

Riesz bases of exponentials on multiband spectra

Nir Lev

Department of Mathematics

Weizmann Institute of Science

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

Abstract

Let S be the union of finitely many disjoint intervals on ℝ. Suppose that there are two real numbers α, β such that the length of each interval belongs to ℤα + ℤβ. We use quasicrystals to construct a discrete set Λ ⊂ ℝ such that the system of exponentials {exp 2πiλx, λ ∈ Λ} is a Riesz basis in the space L ²(S).

Original language	English
Pages (from-to)	3127-3132
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-2012-11138-4
State	Published - Sep 2012

Keywords

Multiband signals
Quasicrystals
Riesz bases

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-2012-11138-4

Cite this

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AB - Let S be the union of finitely many disjoint intervals on ℝ. Suppose that there are two real numbers α, β such that the length of each interval belongs to ℤα + ℤβ. We use quasicrystals to construct a discrete set Λ ⊂ ℝ such that the system of exponentials {exp 2πiλx, λ ∈ Λ} is a Riesz basis in the space L 2(S).

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Riesz bases of exponentials on multiband spectra

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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