Quasianalyticity of Lp-functions on Riemannian symmetric spaces of noncompact type

Authors

• Rudra P. Sarkar, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Annali Di Matematica Pura Ed Applicata

Abstract

A result of Chernoff gives sufficient condition for an L²-function on Rⁿ to be quasi-analytic, in the sense that the function and all its derivatives cannot vanish at a point. This is a generalization of the classical Denjoy–Carleman theorem on R and of the subsequent works on Rⁿ by Bochner and Taylor. In this note we endeavour to obtain an exact analogue of the result of Chernoff for L^p,p∈[1,2] functions on the Riemannian symmetric spaces of noncompact type. No restriction on the rank of the symmetric spaces and no condition on the symmetry of the functions is assumed.

First Page

21

Last Page

38

DOI

10.1007/s10231-024-01471-x

Publication Date

2-1-2025

Recommended Citation

Sarkar, Rudra P., "Quasianalyticity of Lp-functions on Riemannian symmetric spaces of noncompact type" (2025). Journal Articles. 5544.
https://digitalcommons.isical.ac.in/journal-articles/5544