Poisson type generators for L1(ℝ)

Gerard Ascensi; Joaquim Bruna

doi:https://doi.org/10.1007/s00041-009-9060-6

Poisson type generators for L¹(ℝ)

Gerard Ascensi, Joaquim Bruna

Department of Mathematics

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

Abstract

We characterize the discrete sets Λ⊆ℝ such that {ϕ(t-λ),λ∈Λ} span L1(ℝ), ϕ being an L1(ℝ)-function whose Fourier transform behaves like e-2ϖ&mid;ξ&mid;. © Birkhäuser Boston 2009.

Original language	English
Pages (from-to)	553-560
Journal	Journal of Fourier Analysis and Applications
Volume	15
DOIs	https://doi.org/10.1007/s00041-009-9060-6
Publication status	Published - 1 Oct 2009

Keywords

Generators by translations
Poisson function

Access to Document

https://doi.org/10.1007/s00041-009-9060-6

Cite this

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title = "Poisson type generators for L1(ℝ)",

abstract = "We characterize the discrete sets Λ⊆ℝ such that {ϕ(t-λ),λ∈Λ} span L1(ℝ), ϕ being an L1(ℝ)-function whose Fourier transform behaves like e-2ϖ&mid;ξ&mid;. {\textcopyright} Birkh{\"a}user Boston 2009.",

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author = "Gerard Ascensi and Joaquim Bruna",

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T1 - Poisson type generators for L1(ℝ)

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AU - Bruna, Joaquim

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AB - We characterize the discrete sets Λ⊆ℝ such that {ϕ(t-λ),λ∈Λ} span L1(ℝ), ϕ being an L1(ℝ)-function whose Fourier transform behaves like e-2ϖ&mid;ξ&mid;. © Birkhäuser Boston 2009.

KW - Generators by translations

KW - Poisson function

U2 - https://doi.org/10.1007/s00041-009-9060-6

DO - https://doi.org/10.1007/s00041-009-9060-6

M3 - Article

VL - 15

SP - 553

EP - 560

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

SN - 1069-5869