Geodesic
Regularization of distributions
Sbornik. Mathematics, Tome 214 (2023) no. 4, pp. 516-549 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sufficient conditions are presented for the construction of a regularization of a distribution in the form $a(\sigma)f$, where $f$ is a distribution and $a(\sigma)$ is an infinitely differentiable function outside a closed set $N$ which has power-like singularities of derivatives on $N$. Applications of such regularizations to an effective construction of solutions of the equation $Pu=f$, where $P(\sigma)$ is a polynomial, are considered. Bibliography: 14 titles.
Keywords: regularization of a distribution, manifold.
Mots-clés : multiplier 
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A. L. Pavlov. Regularization of distributions. Sbornik. Mathematics, Tome 214 (2023) no. 4, pp. 516-549. http://geodesic.mathdoc.fr/item/SM_2023_214_4_a2/

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