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math.AP2021
-Ellipticity of Fredholm Pseudo-Differential Operators on and Gårding's Inequality
Aparajita Dasgupta, Lalit Mohan
In this paper, we study the -ellipticity of Fredholm pseudo-differential operators associated with weighted symbols on , . We also prove the G…
math.AP2021
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…
math.FA2021
Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right--translation-invariant functions
Aparajita Dasgupta, Swaraj Paul, Santosh Kumar Nayak
By using a coset of closed subgroup, we define a Fourier like transform for locally compact abelian (LCA) topological groups. We studied two wavelet multipliers and Landau-Pollak-S…