Exponential frames on unbounded sets

Shahaf Nitzan; Alexander Olevskii; Alexander Ulanovskii

doi:10.1090/proc/12868

Exponential frames on unbounded sets

Shahaf Nitzan, Alexander Olevskii, Alexander Ulanovskii

School of Mathematical Sciences

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

Abstract

For every set S of finite measure in ℝ we construct a discrete set of real frequencies Λ such that the exponential system {exp(iλt), λ ∈ Λ} is a frame in L²(S).

Original language	English
Pages (from-to)	109-118
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	1
DOIs	https://doi.org/10.1090/proc/12868
State	Published - Jan 2016

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abstract = "For every set S of finite measure in ℝ we construct a discrete set of real frequencies Λ such that the exponential system {exp(iλt), λ ∈ Λ} is a frame in L2(S).",

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Exponential frames on unbounded sets

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