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On Integral Operators with Homogeneous Kernels and Trigonometric Coefficients
Russian Mathematics Pub Date : 2021-05-21 , DOI: 10.3103/s1066369x21040010 O. G. Avsyankin
中文翻译:
具有齐次核和三角系数的积分算子
更新日期:2021-05-22
Russian Mathematics Pub Date : 2021-05-21 , DOI: 10.3103/s1066369x21040010 O. G. Avsyankin
We consider the multidimensional integral operators with homogeneous kernels of degree \((-n)\) and trigonometric coefficients of a special type. For these operators, we obtain the necessary and sufficient conditions of Fredholmness and we calculate the index.
中文翻译:
具有齐次核和三角系数的积分算子
我们考虑具有度数\((-n)\)的齐次核和特殊类型的三角系数的多维积分算子。对于这些运算符,我们获得了Fredholmness的充要条件,并计算出该指数。