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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     author = {O. G. Avsyankin},
     title = {On the {Algebra} of {Pair} {Integral} {Operators} with {Homogeneous} {Kernels}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--493},
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     number = {4},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a0/}
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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/