A Theorem of Chernoff on Quasi-analytic Functions for Riemannian Symmetric Spaces

Authors

Mithun Bhowmik, Indian Institute of Science
Sanjoy Pusti, Indian Institute of Technology Bombay
Swagato K. Ray, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

International Mathematics Research Notices

Abstract

An L2 version of the classical Denjoy–Carleman theorem regarding quasi-analytic functions was proved by P. Chernoff on Rn using iterates of the Laplacian. We give a simple proof of this theorem that generalizes the result on Rn for any p ∈ [1, 2]. We then extend this result to Riemannian symmetric spaces of compact and noncompact type for K-biinvariant functions.

First Page

10942

Last Page

10963

DOI

https://10.1093/imrn/rnab143

Publication Date

6-1-2023

Comments

Open Access, Green

Recommended Citation

Bhowmik, Mithun; Pusti, Sanjoy; and Ray, Swagato K., "A Theorem of Chernoff on Quasi-analytic Functions for Riemannian Symmetric Spaces" (2023). Journal Articles. 3690.
https://digitalcommons.isical.ac.in/journal-articles/3690