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

Authors

Mithun Bhowmik, Indian Statistical Institute
Sanjoy Pusti, Indian Statistical Institute
Swagato K. Ray, Indian Statistical Institute

Document 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

1

Last Page

22

DOI

10.1093/imrn/rnab143

Publication Date

6-2-2021

Recommended Citation

Bhowmik, Mithun; Pusti, Sanjoy; and Ray, Swagato K., "A Theorem of Chernoff on Quasi-analytic Functions for Riemannian Symmetric Spaces" (2021). ISI Best Publications. 25.
https://digitalcommons.isical.ac.in/ibp/25