圆上光滑函数可数赋范空间中Riemann边值问题算子的可逆性和谱

IF 0.5 Q3 MATHEMATICS Russian Mathematics Pub Date : 2023-08-01 DOI:10.3103/s1066369x2308008x
A. E. Pasenchuk
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引用次数: 0

摘要

在单位圆上光滑函数的可数赋范空间中,考虑具有光滑系数的Riemann边值问题算子。介绍了单位圆上光滑的正负函数的光滑退化分解的概念。给出了这种分解存在的判据。提出了一种用系数来计算这些因数分解指标的装置。利用光滑退化分解,得到了黎曼边值问题算子可逆性的判据。这允许描述这个算子的频谱。给出了相同系数的光滑函数和可求和函数空间中黎曼算子谱的关系。
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Invertibility and Spectrum of the Riemann Boundary Value Problem Operator in a Countably Normed Space of Smooth Functions on a Circle
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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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