Geodesic
Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the $L_2$ Space on the Heisenberg Group
Informatics and Automation, Differential equations and dynamical systems, Tome 308 (2020), pp. 167-180.

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We consider the Heisenberg group $\mathbb H_n$ with Korányi norm. In the space $L_2(\mathbb H_n)$, we introduce integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients. For the unital $C^*$-algebra $\mathfrak W(\mathbb H_n)$ generated by such operators, we construct a symbolic calculus and in terms of this calculus formulate necessary and sufficient conditions for an operator in $\mathfrak W(\mathbb H_n)$ to be a Fredholm operator. 
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V. V. Denisenko; V. M. Deundyak. Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the $L_2$ Space on the Heisenberg Group. Informatics and Automation, Differential equations and dynamical systems, Tome 308 (2020), pp. 167-180. http://geodesic.mathdoc.fr/item/TRSPY_2020_308_a11/

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