Title

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

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

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