[HTML][HTML] Theorems of Ingham and Chernoff on Riemannian symmetric spaces of noncompact type
An L 2 version of the celebrated Denjoy-Carleman theorem regarding quasi-analytic
functions was proved by Chernoff on R d using iterates of the Laplacian. In 1934 Ingham …
functions was proved by Chernoff on R d using iterates of the Laplacian. In 1934 Ingham …
An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type
P Ganguly, S Thangavelu - Annali di Matematica Pura ed Applicata (1923 …, 2022 - Springer
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 generalized spectral …
Riemannian symmetric space and assume that X is of rank one. The generalized spectral …
Theorems of Chernoff and Ingham for certain eigenfunction expansions
P Ganguly, S Thangavelu - Advances in Mathematics, 2021 - Elsevier
We prove an uncertainty principle for certain eigenfunction expansions on L 2 (R+, w (r) dr)
and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami …
and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami …
On theorems of Chernoff and Ingham on the Heisenberg group
arXiv:2009.14230v2 [math.FA] 8 Feb 2021 Page 1 arXiv:2009.14230v2 [math.FA] 8 Feb 2021
ON THEOREMS OF CHERNOFF AND INGHAM ON THE HEISENBERG GROUP SAYAN …
ON THEOREMS OF CHERNOFF AND INGHAM ON THE HEISENBERG GROUP SAYAN …
An analogue of Ingham's theorem on the Heisenberg group
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 …
transform on the Heisenberg group. This is accomplished by explicitly constructing …
[PDF][PDF] An uncertainty principle for some eigenfunction expansions with applications
P Ganguly, S Thangavelu - arXiv preprint arXiv:2011.09940, 2020 - academia.edu
We prove an uncertainty principle for certain eigenfunction expansions on L2 (R+, w (r) dr)
and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami …
and use it to prove analogues of theorems of Chernoff and Ingham for Laplace-Beltrami …
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 …
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 …
function on the real line has certain exponential decay, then the function cannot vanish on a …
Ingham-type theorems for the Dunkl Fourier transforms
M Bhowmik, S Parui, S Pusti - Complex variables and Elliptic …, 2022 - Taylor & Francis
Full article: Ingham-type theorems for the Dunkl Fourier transforms Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Access provided by The …
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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 …
Borel measure μ on the real line cannot vanish on a set of positive Lebesgue measure if μ …