Search Results - "Vit, V."

Interpolation Problem with Knots on a Line for Solutions of a Multidimensional Convolution Equation by Volchkov, V. V., Volchkov, Vit. V.

“…We study an interpolation problem with knots on a straight line for solutions of a multidimensional convolution equation of the form , where is a given radial…”
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Spectral Synthesis on the Reduced Heisenberg Group by Volchkov, V. V., Volchkov, Vit. V.

“…The spectral synthesis problem for the phase space associated with the reduced Heisenberg group is studied. The paper deals with the case of subspaces in…”
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Reconstruction of the Cauchy–Riemann Operator by Complex Integration Operators along Circles by Volchkova, N. P., Volchkov, Vit. V.

“…One well-known integral condition for a function to be holomorphic is the following classical Morera theorem: if a function is continuous in a domain and has…”
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Continuous Mean Periodic Extension of Functions from an Interval by Volchkov, V. V., Volchkov, Vit. V.

“…We study the following version of the mean periodic extension problem. (i) Suppose that , n ≥ 2, and E is a nonempty closed subset of . What conditions…”
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TANGENT APPROXIMATION BY SOLUTIONS OF THE CONVOLUTION EQUATION by V. V. Volchkov, Vit. V. Volchkov

“…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…”
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Approximation of Functions on Rays in  by Solutions to Convolution Equations by Volchkov, V. V., Volchkov, Vit. V.

“…This is a first study of approximation of continuous functions on rays in by smooth solutions to a multidimensional convolution equation with a radial…”
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Interpolation problems for functions with zero ball means by Volchkov, V. V., Volchkov, Vit. V.

“…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…”
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On the Radial Symmetry Property for Harmonic Functions by Volchkov, V. V., Volchkov, Vit. V.

“…Let be a closed smooth Jordan curve in the complex plane , G be a bounded domain in with the boundary , and let . We study functions that are continuous in and…”
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Comprehensive assessment of the parameters of adaptive capacity and ecological stability of genotypes for winter garlic breeding by Skorina, V. V., Skoryna, Vit. V.

“…Relevance. Considering the regional peculiarities of the climate of Belarus in the cultivation of garlic, it is relevant to create varieties with high yields,…”
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On the problem of mean periodic extension by Volchkov, V. V., Volchkov, Vit. V.

“…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…”
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RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS by Volchkova, N. P., Volchkov, Vit. V.

“…Various issues related to restrictions on radii in meanvalue formulas are well-known in the theory of harmonic functions. In particular, using the…”
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The removability problem for functions with zero spherical means by Volchkov, Vit. V., Volchkova, N. P.

“…We study the functions on the punctured n -dimensional sphere having zero integrals over all admissible “hemispheres.” We find a condition for the point to be…”
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Interpolation Problems for Functions with Zero Integrals over Balls of Fixed Radius by Volchkov, V. V., Volchkov, Vit. V.

“…Let , n ≥ 2, be the set of functions with zero integrals over all balls in of radius r . Various interpolation problems for the class are studied. In the case…”
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Morphological and ophthalmoscopic features of epiretinal membranes after intravitreal injection of various doses of aflibercept in patients with proliferative diabetic retinopathy by Ponomarchuk, Vira S, Vit, V. V., Umanets, M. M.

“…Background: Although methods are available to treat proliferative diabetic retinopathy (PDR), 30% of cases progress, which is an indication for vitrectomy…”
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An Analog of the Brown–Schreiber–Taylor Theorem for Weighted Hyperbolic Shifts by Volchkov, V. V., Volchkov, Vit. V.

“…In the present paper, using a development of the technique of transmutation mappings, we obtain the first weighted analog of the well-known…”
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Analogs of the Spherical Transform in the Hyperbolic Plane by Vasilyanskaya, V. S., Volchkov, Vit. V.

“…We introduce the notion of “ s ”-convolution in the hyperbolic plane ℍ 2 and consider its properties. Analogs of the Helgason spherical transform in the spaces…”
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Analogs of the Globevnik problem on Riemannian two-point homogeneous spaces by Volchkov, V. V., Volchkov, Vit. V.

“…On a two-point homogeneous space X , we consider the problem of describing the set of continuous functions having zero integrals over all spheres enclosing the…”
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A uniqueness theorem for the non-Euclidean Darboux equation by Volchkov, V. V., Volchkov, Vit. V.

“…A non-Euclidean analog of the generalized Darboux equation is considered. For the case where its solutions are radial functions of second variable we obtain a…”
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The extension problem for functions with zero weighted spherical means by Volchkov, Vit. V., Volchkova, N. P.

“…We study functions on a sphere with a pricked point having zero integrals with a given weight over all admissible “hemispheres”. We find a condition under…”
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Histomorphologic changes after contact transscleral Nd: YAG laser cyclophotocoagulation with scleral compression by Chechin, P., Vit, V., Guzun, O.

“…Introduction. Refractive glaucoma is referred to the most severe forms of the disease. To reduce intraocular pressure and pain syndrome, transscleral laser…”
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