Hall–Littlewood Polynomials, Boundaries, and p-Adic Random Matrices

R Van Peski - International Mathematics Research Notices, 2023 - academic.oup.com
We prove that the boundary of the Hall–Littlewood-deformation of the Gelfand–Tsetlin graph
is parametrized by infinite integer signatures, extending results of Gorin and Cuenca on …

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 …

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 …

A theorem of Chernoff on quasi-analytic functions for Riemannian symmetric spaces

M Bhowmik, S Pusti, SK Ray - … Mathematics Research Notices, 2023 - academic.oup.com
An version of the classical Denjoy–Carleman theorem regarding quasi-analytic functions
was proved by P. Chernoff on using iterates of the Laplacian. We give a simple proof of this …

[PDF][PDF] On decay of spectral projections associated to Laplacians on certain Riemannian manifolds.

S Thangavelu - 2021 - msrn-files.sfedu.ru
ˆf (k) eikx where ˆf are the Fourier coefficients of the functions f. We can therefore construct
smooth functions whose Fourier coefficients have any given but arbitrary decay. However …