activity
20042023
most citedOn theorems of Chernoff and Ingham on the Heisenberg group

6 citations · 7 across the 9 of their papers we have counts for

collaborators

11 papers

math.CA2023

Weighted estimates for Hardy-Littlewood maximal functions on Harmonic groups

Pritam Ganguly, Tapendu Rana, Jayanta Sarkar

Our aim in this article is to study the weighted boundedness of the centered Hardy-Littlewood maximal operator in Harmonic groups. Following Ombrosi et al. \cite{ORR}, we defi…

math.AP2022

Strong unique continuation for variable coefficient parabolic operators with Hardy type potential

Agnid Banerjee, Pritam Ganguly, Abhishek Ghosh

In this paper, we prove the strong unique continuation property at the origin for solutions of the following scaling critical parabolic differential inequality \[ |\operatorname{di…

math.CA2022

An analogue of Ingham's theorem on the Heisenberg group

Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1

We prove an exact analogue of Ingham's uncertainty principle for the group Fourier transform on the Heisenberg group. This is accomplished by explicitly constructing compactly supp…

math.CA2021

Analogues of theorems of Chernoff and Ingham on the Heisenberg group

Pritam Ganguly, Sundaram Thangavelu

We prove an analogue of Chernoff's theorem for the Laplacian on the Heisenberg group As an application, we prove Ingham type theorems for the gr…

math.FA2021

On a theorem of Chernoff on rank one Riemannian symmetric spaces

Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu

In 1975, P.R. Chernoff used iterates of the Laplacian on to prove an version of the Denjoy-Carleman theorem which provides a sufficient condition for a smooth…

math.AP2020

An extension problem, trace Hardy and Hardy's inequalities for Ornstein-Uhlenbeck operator

Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu

In this paper, we study an extension problem for the Ornstein-Uhlenbeck operator and we obtain various characterisations of the solution of the same. We use…

math.FA2020

An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type

Pritam Ganguly, Sundaram Thangavelu

Let be a noncompact semisimple Lie group with finite centre. Let be the associated Riemannian symmetric space and assume that is of rank one. The spectral projecti…

math.FA2020

Theorems of Chernoff and Ingham for certain eigenfunction expansions

Pritam Ganguly, Sundaram Thangavelu

We prove an uncertainty principle for certain eigenfunction expansions on and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-…

math.FA2020★ 6 cited

On theorems of Chernoff and Ingham on the Heisenberg group

Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1

We prove an analogue of Chernoff's theorem for the sublaplacian on the Heisenberg group and use it prove a version of Ingham's theorem for the Fourier transform on the same group.

math.CA2019

On the lacunary spherical maximal function on the Heisenberg group

Pritam Ganguly, Sundaram Thangavelu

In this paper we investigate the boundedness of the lacunary maximal function $ M_{\Ha}^{lac} $ associated to the spherical means taken over Koranyi spheres on the H…

cs.CG2004★ 1 cited

An algorithm for two-dimensional mesh generation based on the pinwheel tiling

Pritam Ganguly, Stephen A. Vavasis, Katerina D. Papoulia

We propose a new two-dimensional meshing algorithm called PINW able to generate meshes that accurately approximate the distance between any two domain points by paths composed only…