Geodesic
Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the $L_2$ Space on the Heisenberg Group
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 167-180

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TM_2020_308_a11,
     author = {V. V. Denisenko and V. M. Deundyak},
     title = {Fredholm {Property} of {Integral} {Operators} with {Homogeneous} {Kernels} of {Compact} {Type} in the $L_2$ {Space} on the {Heisenberg} {Group}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {167--180},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a11/}
}
TY  - JOUR
AU  - V. V. Denisenko
AU  - V. M. Deundyak
TI  - Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the $L_2$ Space on the Heisenberg Group
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2020
SP  - 167
EP  - 180
VL  - 308
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2020_308_a11/
LA  - ru
ID  - TM_2020_308_a11
ER  - 
%0 Journal Article
%A V. V. Denisenko
%A V. M. Deundyak
%T Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the $L_2$ Space on the Heisenberg Group
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2020
%P 167-180
%V 308
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2020_308_a11/
%G ru
%F TM_2020_308_a11
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. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 167-180. http://geodesic.mathdoc.fr/item/TM_2020_308_a11/