Abstract
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 contribution | Piatetski-Shapiro phenomenon in the uniqueness problem |
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Original language | French |
Pages (from-to) | 793-798 |
Number of pages | 6 |
Journal | Comptes Rendus Mathematique |
Volume | 340 |
Issue number | 11 |
DOIs | |
State | Published - 1 Jun 2005 |
Externally published | Yes |