一类有限群全纯系数泛函方程

IF 0.5 Q3 MATHEMATICS Russian Mathematics Pub Date : 2023-08-01 DOI:10.3103/s1066369x23080029
F. N. Garif’yanov, E. V. Strezhneva
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引用次数: 0

摘要

摘要我们考虑一个凸五边形\(D\),它有一对平行相等的边,没有公共顶点。我们研究了与这个多边形相关的线性差分方程。方程的系数和自由项在\(D\)中是全纯的。在\(\partial D\)边界的“一半”外全纯且在无穷远处消失的一类函数中寻求解。提出了一种正则化方法,并给出了等价的条件。解表示为密度未知的柯西型积分。本质上使用了巴拿赫空间中的收缩映射原理。给出了在指数型全函数插值问题中的应用。
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On a Functional Equation with Holomorphic Coefficients Associated with a Finite Group
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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍: Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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