6 citations · 13 across the 19 of their papers we have counts for
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Local Dispersive and Strichartz estimates for the Schrödinger equation associated to the Ornstein-Uhlenbeck operator
Aparajita Dasgupta, Uttam Kumar Dolai, Cheng Luo +1
In this paper we study the linear and nonlinear Schrödinger equations associated with the Ornstein-Uhlenbeck (OU) operator endowed with the Gaussian measure. While classical Strich…
Non-harmonic -elliptic pseudo differential operators on manifolds
Aparajita Dasgupta, Vishvesh Kumar, Lalit Mohan +1
In this article, we introduce and study -elliptic pseudo-differential operators in the framework of non-harmonic analysis of boundary value problems on a manifold with bound…
Multilinear Fourier Integral operators on modulation spaces
Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal
In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness…
Localization Operator and Weyl Transform on Reduced Heisenberg Group with Multi-dimensional Center
Aparajita Dasgupta, Santosh Kumar Nayak
In this article, we study two different types of operators, the localization operator and Weyl transform, on the reduced Heisenberg group with multidimensional center …
Weighted periodic and discrete Pseudo-Differential Operators
Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal
In this paper, we study elements of symbolic calculus for pseudo-differential operators associated with the weighted symbol class (associ…
Pseudo-Differential Operators, Wigner Transform, and Weyl Transform on the Affine Poincaré Group
Aparajita Dasgupta, Santosh Kumar Nayak
In this paper, we study harmonic analysis on the affine Poincaré group , which is a non-unimodular group, and obtain pseudo-differential operators with operator…