Zobrazeno 1 - 10 of 50 pro vyhledávání: '"Vit. V. Volchkov"'
1
Akademický článek
RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS
Autor: N. P. Volchkova, Vit. V. Volchkov
Publikováno v: Проблемы анализа, Vol Том 12 (30), Iss 1, Pp 96-117 (2023)
Various issues related to restrictions on radii in meanvalue formulas are well-known in the theory of harmonic functions. In particular, using the Brown-Schreiber-Taylor theorem on spectral synthesis for motion-invariant subspaces in 𝐶(R^𝑛), o
Externí odkaz: https://doaj.org/article/e7fdbb1dc93748f382b4d5f62c3e8a21
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2
Akademický článek
TANGENT APPROXIMATION BY SOLUTIONS OF THE CONVOLUTION EQUATION
Autor: V. V. Volchkov, Vit. V. Volchkov
Publikováno v: Проблемы анализа, Vol 11 (29), Iss 3, Pp 125-142 (2022)
The article for the first time studies the approximation of a function together with its derivatives on the real line by solutions of a multidimensional convolution equation of the form 𝑔 * 𝑇 = 0, where 𝑇 is a given compactly supported rad
Externí odkaz: https://doaj.org/article/ae57e43d7a0f45308d38773432c48381
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3
Akademický článek
INTERPOLATION PROBLEMS FOR FUNCTIONS WITH ZERO BALL MEANS
Autor: V. V. Volchkov, Vit. V. Volchkov
Publikováno v: Проблемы анализа, Vol 10 (28), Iss 3, Pp 129-140 (2021)
Let 𝑛 >= 2, 𝑉_𝑟(R^𝑛) be the set of functions with zero integrals over all balls in R^𝑛 of radius 𝑟. Various interpolation problems for the class 𝑉_𝑟(R^𝑛) are studied. In the case when the set of interpolation nodes is finit
Externí odkaz: https://doaj.org/article/d331d5b073254c539a220e2ffda80d23
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4
Akademický článek
ON THE PROBLEM OF MEAN PERIODIC EXTENSION
Autor: V. V. Volchkov, Vit. V. Volchkov
Publikováno v: Проблемы анализа, Vol 9 (27), Iss 2, Pp 138-151 (2020)
This paper is devoted to a study of the following version of the mean periodic extension problem: (i) Suppose that 𝑇 ∈ ℰ′ (R^𝑛), 𝑛 ≥ 2, and 𝐸 is a non-empty subset of R^𝑛. Let 𝑓 ∈ 𝐶(𝐸). What conditions guarantee t
Externí odkaz: https://doaj.org/article/524e9fb845914c6bbfe3241a39fb8a4b
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8
Continuous Extension of Functions from a Segment to Functions in $\mathbb{R}^n$ with Zero Ball Means
Autor: V. V. Volchkov, Vit. V. Volchkov
Publikováno v: Russian Mathematics. 65:1-11
Let $\mathbb{R}^n$ be a Euclidean space of dimension $n\geq 2$ . For a domain $G\subset \mathbb{R}^n$ , we denote by $V_r(G)$ the set of functions $f\in L_{\mathrm{loc}}(G)$ having zero integrals over all closed balls of radius r contained in G (if d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::540e8a7511080f97b64e4d2550a6d7ea
https://doi.org/10.3103/s1066369x21030014
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9
Continuous Mean Periodic Extension of Functions from an Interval
Autor: V. V. Volchkov, Vit. V. Volchkov
Publikováno v: Doklady Mathematics. 103:14-18
We study the following version of the mean periodic extension problem. (i) Suppose that $$T \in \mathcal{E}'({{\mathbb{R}}^{n}})$$ , n ≥ 2, and E is a nonempty closed subset of $${{\mathbb{R}}^{n}}$$ . What conditions guarantee that, for a function
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a590e068b0c1d3f7740098a462c9a4c1
https://doi.org/10.1134/s106456242101018x
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10
On the Radial Symmetry Property for Harmonic Functions
Autor: Vit. V. Volchkov, V. V. Volchkov
Publikováno v: Russian Mathematics. 64:9-19
Let $\Gamma$ be a closed smooth Jordan curve in the complex plane $\mathbb{C}$ ,G be a bounded domain in $\mathbb{C}$ with the boundary $\Gamma$ , and let $\overline{G}=G\cup\Gamma$ . We study functions that are continuous in $\mathbb{C}\setminus G$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::de1984974bccd1d3fe49250037052f49
https://doi.org/10.3103/s1066369x20100023
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