Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
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DOI: 10.1515/forum-2018-0155
Abstract: Abstract Let G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space G / H {G/H} . We present a… read more here.
Keywords: operators homogeneous; homogeneous spaces; spaces compact; pseudo differential ... See more keywords
On Integral Operators with Homogeneous Kernels and Trigonometric Coefficients
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DOI: 10.3103/s1066369x21040010
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… read more here.
Keywords: trigonometric coefficients; operators homogeneous; homogeneous kernels; integral operators ... See more keywords