Geodesic
On the Algebra of Multidimensional Integral Operators with Homogeneous $SO(n)$-Invariant Kernels and Weakly Radially Oscillating Coefficients
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 163-176.

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In this paper, we study the Banach algebra $\mathfrak B$ generated by multidimensional integral operators whose kernels are homogeneous functions of degree $(-n)$ invariant with respect to the rotation group $SO(n)$ and by the operators of multiplication by radial weakly oscillating functions. A symbolic calculus is developed for the algebra $\mathfrak B$. The Fredholm property and the formula for calculating the index are described in terms of this calculus.
Keywords: Fredholm property, integral operators, operator algebra, index of a Fredholm operator, Banach algebra, locally oscillating function. 
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O. G. Avsyankin; V. M. Deundyak. On the Algebra of Multidimensional Integral Operators with Homogeneous $SO(n)$-Invariant Kernels and Weakly Radially Oscillating Coefficients. Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 163-176. http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a0/

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