Geodesic
On the Algebra of Pair Integral Operators with Homogeneous Kernels
Matematičeskie zametki, Tome 73 (2003) no. 4, pp. 483-493.

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In this paper, we study the Banach algebra $\mathfrak A$ generated by multidimensional pair integral operators with homogeneous kernels. We describe necessary and sufficient conditions for operators from the algebra $\mathfrak A$ to be Fredholm and present a formula for calculating the index. 
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O. G. Avsyankin. On the Algebra of Pair Integral Operators with Homogeneous Kernels. Matematičeskie zametki, Tome 73 (2003) no. 4, pp. 483-493. http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a0/

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