4 citations · 6 across the 8 of their papers we have counts for
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Weighted Norm Inequalities for the Strichartz Fourier transform on the Heisenberg Group
Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti +1
In this article, we establish an analogue of Pitt's inequality for the Strichartz Fourier transform on the Heisenberg group . By exploiting the scalar-valued formulat…
Quantum Hermite functions and Fourier Transform of operators
Rahul Garg, Sundaram Thangavelu
We construct operator analogues of Hermite functions which form an orthonormal basis for the Hilbert space of Hilbert-Schmidt operators on We use thi…
Some Versions of Beurling's Theorem on H-type Groups
Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti +1
We prove an analogue of Beurling's theorem on the H-type groups of certain dimensions after establishing the Gutzmer's formula for the H-type groups. We also obtain some other vers…
On the boundedness of certain operators of convolution type on Fock spaces
Sundaram Thangavelu
We find necessary and sufficient conditions on the convolution kernels so that certain operators on twisted Fock spaces $\mathcal{F}^λ(\C^{2n})$ are bounded.
On the boundedness of Dunkl multipliers
Suman Mukherjee, Sundaram Thangavelu
In this article we use Littlewood-Paley-Stein theory to prove two versions of Dunkl multiplier theorem when the multiplier satisfies a modified Hörmander condition. When $ m…
Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators
Pradeep Boggarapu, S. Thangavelu
In this paper we study weighted mixed norm estimates for Riesz transforms associated to Dunkl harmonic oscillators. The idea is to show that the required inequalities are equivalen…
Heat kernel transform on nilmanifolds associated to H-type groups
A. Dasgupta, S. Thangavelu
We study the heat kernel transform on a nilmanifold M associated to a H-type group. Using a reduction technique we reduce the problem to the case of Heisenberg groups. The image of…