P. Ganguly

activity

20192022

collaborators

8 papers

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 $Δ_{H}$ on the Heisenberg group $H^{n} .$ 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 $R^{n}$ to prove an $L^{2}$ 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 $L = - Δ + 2 x \cdot \nabla + n$ 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 $G$ be a noncompact semisimple Lie group with finite centre. Let $X = G / K$ be the associated Riemannian symmetric space and assume that $X$ 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 $L^{2} (R^{+}, w (r) d r)$ and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-…