6 citations · 22 across the 41 of their papers we have counts for
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Schatten Class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
Vishvesh Kumar, Shyam Swarup Mondal
Given a compact (Hausdorff) group and a closed subgroup of in this paper we present symbolic criteria for pseudo-differential operators on compact homogeneous space $G…
Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds
Vishvesh Kumar, Michael Ruzhansky
We prove the classical Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds.
Dixmier traces for discrete pseudo-differential operators
Duván Cardona, César del Corral, Vishvesh Kumar
In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on . In this setting, we introduce a suitable no…
Ellipticity and Fredholmness of pseudo-differential operators on $\ell^2(\Zn)$
Aparajita Dasgupta, Vishvesh Kumar
The minimal operator and the maximal operator of an elliptic pseudo-differential operator with symbols on are proved to coincide and the domain is given i…
Orlicz Modules over Coset Spaces of Compact Subgroups in Locally compact Groups
Vishvesh Kumar
Let be a compact subgroup of a locally compact group and let be the normalized -invariant measure on homogeneous space associated with Weil's formula. Let …
Hilbert-Schmidt and Trace Class Pseudo-differential Operators on the Abstract Heisenberg Group
Aparajita Dasgupta, Vishvesh Kumar
In this paper we introduce and study pseudo-differential operators with operator valued symbols on the abstract Heisenberg group $\mathbb{H}(G):=G \times \widehat{G} \times \mathbb…