Výsledky vyhledávání - "V K Belošapka"

ESTIMATES FOR THE RADIUS OF CONVERGENCE OF POWER SERIES DEFINING MAPPINGS OF ANALYTIC HYPERSURFACES

Publikováno v: Mathematics of the USSR-Izvestiya. 19:241-259

In this article the authors obtain lower bounds for the radius of convergence of power series which define a mapping from one nondegenerate real analytic hypersurface in Cn to another. For certain classes of surfaces a complete list is given of the p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4232dd928943114defb206a4600197e3
https://doi.org/10.1070/im1982v019n02abeh001416

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ON A METRIC PROPERTY OF ANALYTIC SETS

Autor: V K Belošapka

Publikováno v: Mathematics of the USSR-Izvestiya. 10:1333-1338

Let be an algebraic set in containing the origin and let be the unit sphere.CONJECTURE. The diameter of one of the connected components of is greater than one.In this article it is shown that this is false if the requirement that be algebraic is weak

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e80500def136baadfd91caa93d5e8883
https://doi.org/10.1070/im1976v010n06abeh001837

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ON THE DIMENSION OF THE GROUP OF AUTOMORPHISMS OF AN ANALYTIC HYPERSURFACE

Autor: V K Belošapka

Publikováno v: Mathematics of the USSR-Izvestiya. 14:223-245

Let be a nondegenerate real analytic hypersurface in , let , and let consist of the automorphisms of fixing the point . Then, as follows from a theorem of Moser, the real dimension of does not exceed 5. Here it is shown that 1) dimensions 2, 3, and 4

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a932747aa46bf16d1dbef6c3df95d28e
https://doi.org/10.1070/im1980v014n02abeh001092

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FUNCTIONS PLURIHARMONIC ON A MANIFOLD

Autor: V K Belošapka

Publikováno v: Mathematics of the USSR-Izvestiya. 12:439-447

Let u be a smooth function on a manifold M. In this paper necessary and sufficient conditions are obtained for u to be the real part of a CR-function on M. These conditions comprise a system of linear differential equations in this function, whose or

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::391c947092d499ee87c490395e01854e
https://doi.org/10.1070/im1978v012n03abeh001989

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