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On Integral Operators with Homogeneous Kernels and Trigonometric Coefficients

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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… Click to show full abstract

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.

Keywords: trigonometric coefficients; operators homogeneous; homogeneous kernels; integral operators; kernels trigonometric

Journal Title: Russian Mathematics
Year Published: 2021

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