Geodesic
A~uniqueness theorem for Riesz potentials
Algebra i analiz, Tome 19 (2007) no. 4, pp. 113-138.

Voir la notice de l'article provenant de la source Math-Net.Ru

The existence is proved of a nonzero Hölder function $f\colon\mathbb{R}\to\mathbb{R}$ that vanishes together with its M. Riesz potential $f\ast\frac{1}{|x|^{1-\alpha}}$ at all points of some set of positive length. This result improves that of D. Beliaev and V. Havin.
Keywords: Riesz potential, uncertainty principle, Hölder condition. 
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K. A. Izyurov. A~uniqueness theorem for Riesz potentials. Algebra i analiz, Tome 19 (2007) no. 4, pp. 113-138. http://geodesic.mathdoc.fr/item/AA_2007_19_4_a4/

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