An analogue of Ingham's theorem on the Heisenberg group

S Bagchi, P Ganguly, J Sarkar, S Thangavelu - Mathematische Annalen, 2023 - Springer
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 …

On a theorem of Chernoff on rank one Riemannian symmetric spaces

P Ganguly, R Manna, S Thangavelu - Journal of Functional Analysis, 2022 - Elsevier
In 1975, PR 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 function on R n …

Analogues of theorems of Chernoff and Ingham on the Heisenberg group

P Ganguly, S Thangavelu - Journal d'Analyse Mathématique, 2023 - Springer
1 Introduction Page 1 ANALOGUES OF THEOREMS OF CHERNOFF AND INGHAM ON THE
HEISENBERG GROUP By PRITAM GANGULY AND SUNDARAM THANGAVELU Abstract …

Analogues of Beurling's theorem for some integral transforms

S Debnath, S Sen - Integral Transforms and Special Functions, 2022 - Taylor & Francis
A famous result of Beurling says that if the Fourier transform of a non-zero integrable
function on the real line has certain exponential decay, then the function cannot vanish on a …

Completeness of exponentials and Beurling's theorem on and

S Debnath, S Sen - Banach Journal of Mathematical Analysis, 2023 - Springer
A classical result of Arne Beurling states that the Fourier transform of a non-zero complex
Borel measure μ on the real line cannot vanish on a set of positive Lebesgue measure if μ …

Prediction of Enamel Depth Distribution by Machine Learning

D Chen, X He, Q Li, Z Wang, Z Li, J Shen… - Available at SSRN … - papers.ssrn.com
Backgrounds: Depth measuring of enamel is of great importance for preoperative design of
tooth preparations, restorative aesthetic preview and monitoring of enamel wear. However …

Completeness of Exponentials and Beurling's Theorem on and

S Debnath, S Sen - arXiv preprint arXiv:2007.09458, 2020 - arxiv.org
A classical result of Arne Beurling states that the Fourier transform of a nonzero complex
Borel measure $\mu $ on the real line cannot vanish on a set of positive Lebesgue measure …

[引用][C] DMHA 17

S Debnath - 2022

[引用][C] An uncertainty principle on the Heisenberg group

P Ganguly - 2022