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arXiv · 2005.09425

On incompleteness of polynomials in some weighted spaces on half line

Nikolai Dokuchaev
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Abstract

The paper studies completeness of the polynomials in weighted $L_p$-spaces on half line. It is shown that the completeness of polynomials does not hold for a wide class of weights, including the weights $\exp(- r t^q)$ with $r>0$ and $q\in (0,1)$.

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Nikolai Dokuchaev. 2020-05-19. On incompleteness of polynomials in some weighted spaces on half line. https://arxiv.org/abs/2005.09425

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