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math.SP2019★ 2 cited
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…
math.FA2019
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…