Aparajita Dasgupta

activity

20122026

most citedGevrey functions and ultradistributions on compact Lie groups and homogeneous spaces

45 citations · 78 across the 26 of their papers we have counts for

collaborators

30 papers

math.AP2026

Weighted and Sobolev Estimates for Fractional Schrödinger Operators with Reverse Hölder Potentials

Aparajita Dasgupta, Drishti Garg

We study weighted and Sobolev estimates for two fractional Schrödinger operators on $R^{n}$ , where $n \geq 3$ and $0 < s < 1$ . For the additive operator $L = (- Δ)^{s} + V$ , with a nonne…

math.AP2025

Structurally damped semilinear evolution equation for positive operators on Hilbert space

Aparajita Dasgupta, Lalit Mohan, Abhilash Tushir

In this study, we analyze a semilinear damped evolution equation under different damping conditions, including the undamped $(θ = 0)$ , effectively damped $(0 < 2 θ < σ)$ , critically dampe…

math.FA2025

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…

math.AP2025

Fractional semilinear damped wave equation on the Heisenberg group

Aparajita Dasgupta, Shyam Swarup Mondal, Abhilash Tushir

This paper aims to investigate the Cauchy problem for the semilinear damped wave equation for the fractional sub-Laplacian $(- L_{H})^{α}$ , $α > 0$ on the Heisenberg…

math.AP2024

Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential

Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal

This article investigates the wave equation for the Schrödinger operator on $R^{n}$ , denoted as $H_{0} := - Δ + V$ , where $Δ$ is the standard Laplacian and $V$ is a com…

math.AP2024

Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group

Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir

In this article, we examine the general space-time fractional diffusion equation for left-invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers import…

math.AP2024

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1

Let $G$ be a graded Lie group with homogeneous dimension $Q$ . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…

math.AP2024

Time-fractional discrete diffusion equation for Schrödinger operator

Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1

This article aims to investigate the semi-classical analog of the general Caputo-type diffusion equation with time-dependent diffusion coefficient associated with the discrete Schr…

math.AP2024

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1

In this paper, we focus on studying the Cauchy problem for semilinear damped wave equations involving the sub-Laplacian $L$ on the Heisenberg group $H^{n}$ with po…

math.FA2023

Non-harmonic $M$ -elliptic pseudo differential operators on manifolds

Aparajita Dasgupta, Vishvesh Kumar, Lalit Mohan +1

In this article, we introduce and study $M$ -elliptic pseudo-differential operators in the framework of non-harmonic analysis of boundary value problems on a manifold $Ω$ with bound…

math.AP2023

Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential

Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1

In this article, we investigate the semiclassical version of the wave equation for the discrete Schrödinger operator, $H_{ℏ, V} := - ℏ^{- 2} L_{ℏ} + V$ on t…

math.AP2023★ 6 cited

Discrete Heat Equation with irregular thermal conductivity and tempered distributional data

Marianna Chatzakou, Aparajita Dasgupta, Michael Ruzhansky +1

In this paper, we consider a semi-classical version of the nonhomogeneous heat equation with singular time-dependent coefficients on the lattice $ℏ Z^{n}$ . We establish…

math.FA2023

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…

math.FA2022

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 $G$ …

math.AP2022

Nonlinear fractional damped wave equation on compact Lie groups

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal

In this paper, we deal with the initial value fractional damped wave equation on $G$ , a compact Lie group, with power-type nonlinearity. The aim of this manuscript is twofold. Firs…

math.FA2022

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 $M_{ρ, Λ}^{m} (T \times Z)$ (associ…

math.FA2022

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 $P_{a f f}$ , which is a non-unimodular group, and obtain pseudo-differential operators with operator…

math.AP2022★ 1 cited

Nonlinear fractional wave equation on compact Lie groups

Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal

Let $G$ be a compact Lie group. In this article, we consider the initial value fractional wave equation with power-type nonlinearity on $G$ . Mainly, we investigate some $L^{2}-L^{2…

math.FA2022

Uncertainty principles for the short-time Fourier transform on the lattice

Anirudha Poria, Aparajita Dasgupta

In this paper, we study a few versions of the uncertainty principle for the short-time Fourier transform on the lattice $Z^{n} \times T^{n}$ . In particular, we establis…

math.FA2022★ 3 cited

Localization Operators On Discrete Modulation Spaces

Aparajita Dasgupta, Anirudha Poria

In this paper, we study a class of pseudo-differential operators known as time-frequency localization operators on $Z^{n}$ , which depend on a symbol $ς$ and two windows funct…

math.AP2021

$M$ -Ellipticity of Fredholm Pseudo-Differential Operators on $L^{p} (R^{n})$ and Gårding's Inequality

Aparajita Dasgupta, Lalit Mohan

In this paper, we study the $M$ -ellipticity of Fredholm pseudo-differential operators associated with weighted symbols on $L^{p} (R^{n})$ , $1 < p < \infty$ . 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 $ℏ Z^{n}$ . We allow the pr…

math.FA2021

Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right- $H$ -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…

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 $Z^{n} \times T^{n}$ are proved to coincide and the domain is given i…

Weighted and Sobolev Estimates for Fractional Schrödinger Operators with Reverse Hölder Potentials

Structurally damped semilinear evolution equation for positive operators on Hilbert space

Local Dispersive and Strichartz estimates for the Schrödinger equation associated to the Ornstein-Uhlenbeck operator

Fractional semilinear damped wave equation on the Heisenberg group

Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential

Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces

Time-fractional discrete diffusion equation for Schrödinger operator

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Non-harmonic M-elliptic pseudo differential operators on manifolds

Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential

Discrete Heat Equation with irregular thermal conductivity and tempered distributional data

Multilinear Fourier Integral operators on modulation spaces

Localization Operator and Weyl Transform on Reduced Heisenberg Group with Multi-dimensional Center

Nonlinear fractional damped wave equation on compact Lie groups

Weighted periodic and discrete Pseudo-Differential Operators

Pseudo-Differential Operators, Wigner Transform, and Weyl Transform on the Affine Poincaré Group

Nonlinear fractional wave equation on compact Lie groups

Uncertainty principles for the short-time Fourier transform on the lattice

Localization Operators On Discrete Modulation Spaces

M-Ellipticity of Fredholm Pseudo-Differential Operators on Lp(Rn) and Gårding's Inequality

Discrete time-dependent wave equations I. Semiclassical analysis

Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right-H-translation-invariant functions

Ellipticity and Fredholmness of pseudo-differential operators on $\ell^2(\Zn)$

Non-harmonic $M$ -elliptic pseudo differential operators on manifolds

$M$ -Ellipticity of Fredholm Pseudo-Differential Operators on $L^{p} (R^{n})$ and Gårding's Inequality

Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right- $H$ -translation-invariant functions