关于具有广义边界Morera性质的函数的全纯延拓的充分集

IF 0.6 Q3 MATHEMATICS

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki Pub Date : 2023-09-01 DOI:10.35634/vm230307

A.M. Kytmanov, S.G. Myslivets

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引用次数: 0

摘要

考虑在$\mathbb C^n$， $n>1$中有界域$D$的边界上定义的具有广义边界Morera性质的连续函数。研究了与生成流形的根相交的复直线的充分集在D域中的全纯延拓的存在性问题。

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On some sets sufficient for holomorphic continuation of functions with generalized boundary Morera property

This article considers continuous functions defined on the boundary of a bounded domain $D$ in $\mathbb C^n$, $n>1$, and having a generalized boundary Morera property. The question of the existence of a holomorphic continuation of such functions into the domain $D$ for some sufficient sets $\Gamma$ of complex lines intersecting the germ of the generating manifold lying inside the domain is investigated.

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来源期刊

Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki MATHEMATICS-

CiteScore

1.20

自引率

40.00%

发文量