Geodesic
On an Algebra of Multidimensional Integral Operators with Homogeneous-Difference Kernels
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 163-169

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A Banach algebra generated by multidimensional integral operators with homogeneous-difference kernels is considered. A symbolic calculus is constructed for this algebra and, in terms of this calculus, necessary and sufficient conditions for the invertibility of an operator are obtained.
Keywords: multidimensional integral operator, homogeneous-difference kernel, symbolic calculus, invertibility. 
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     author = {O. G. Avsyankin},
     title = {On an {Algebra} of {Multidimensional} {Integral} {Operators} with {Homogeneous-Difference} {Kernels}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a0/}
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O. G. Avsyankin. On an Algebra of Multidimensional Integral Operators with Homogeneous-Difference Kernels. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 163-169. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a0/