Complétion des translations presqu'entières en L2 (ℝ)

Alexander Olevskiǐ

doi:10.1016/S0764-4442(97)87873-1

Complétion des translations presqu'entières en L² (ℝ)

Translated title of the contribution: Completeness in L² (ℝ) of almost integer translates

Alexander Olevskiǐ^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We prove that for any noninteger real sequence λ_n = n + o(1), there exists a function Mathematical bold italic small phi sign ∈ L² (ℝ) such that the system of translates {Mathematical bold italic small phi sign(t - λ_n)} spans all of the space L² (ℝ).

Translated title of the contribution	Completeness in L² (ℝ) of almost integer translates
Original language	French
Pages (from-to)	987-991
Number of pages	5
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Issue number	9
DOIs	https://doi.org/10.1016/S0764-4442(97)87873-1
State	Published - May 1997

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abstract = "We prove that for any noninteger real sequence λn = n + o(1), there exists a function Mathematical bold italic small phi sign ∈ L2 (ℝ) such that the system of translates {Mathematical bold italic small phi sign(t - λn)} spans all of the space L2 (ℝ).",

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Complétion des translations presqu'entières en L² (ℝ)

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