Geodesic
On integral operators with homogeneous kernels and trigonometric coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2021), pp. 3-10

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We consider the multidimensional integral operators with homogeneous of degree $(-n)$ kernels and special type trigonometric coefficients. For these operators we obtain the necessary and sufficient conditions of Fredholmness and we calculate the index.
Keywords: integral operator, homogeneous kernel, Fredholmness, index, spherical harmonics.
Mots-clés : symbol 
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     author = {O. G. Avsyankin},
     title = {On integral operators with homogeneous kernels and trigonometric coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {4},
     year = {2021},
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O. G. Avsyankin. On integral operators with homogeneous kernels and trigonometric coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2021), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2021_4_a0/