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arXiv · 0712.2006

On one uniqueness theorem for M. Rietz potentials

Konstantin Izyurov
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Abstract

We prove that there exists a nonzero holderian real-to-real function vanishing together with its M. Rietz potential in all points of some set of positive length. This result improves the one of D. Beliaev and V. Havin. We also extend the results to multidimensional M. Rietz potentials.

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BibTeXRIS

Konstantin Izyurov. 2007-12-12. On one uniqueness theorem for M. Rietz potentials. https://arxiv.org/abs/0712.2006

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