Phénomène de Piatetski-Shapiro et le problème d'unicité

Translated title of the contribution: Piatetski-Shapiro phenomenon in the uniqueness problem

Nir Lev, Alexander Olevskii

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We extend the phenomenon discovered by Piatetski-Shapiro (1954) to lq spaces. To be precise, for any q > 2 we construct a compact K on the circle, which supports a distribution S with Fourier transform Ŝ ∈ lq, but does not support such a measure.

Translated title of the contributionPiatetski-Shapiro phenomenon in the uniqueness problem
Original languageFrench
Pages (from-to)793-798
Number of pages6
JournalComptes Rendus Mathematique
Issue number11
StatePublished - 1 Jun 2005
Externally publishedYes


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