4 citations · 6 across the 7 of their papers we have counts for
5 papers
Discrete time-dependent wave equations I. Semiclassical analysis
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir
In this paper we consider a semiclassical version of the wave equations with singular Hölder time-dependent propagation speeds on the lattice . We allow the pr…
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…
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…
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality
Aparajita Dasgupta, Michael Ruzhansky
In this paper we analyse the structure of the spaces of smooth type functions, generated by elements of arbitrary Hilbert spaces, as a continuation of the research in our previous…
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations
Aparajita Dasgupta, Michael Ruzhansky
In this paper we analyse the structure of the spaces of coefficients of eigenfunction expansions of functions in Komatsu classes on compact manifolds, continuing the research in ou…