A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type

Authors

Mithun Bhowmik, Indian Statistical Institute, Kolkata
Swagato K. Ray, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

International Mathematics Research Notices

Abstract

A classical result of N. Levinson characterizes the existence of a nonzero integrable function vanishing on a nonempty open subset of the real line in terms of the pointwise decay of its Fourier transform. We prove an analogue of this result for Riemannian symmetric spaces of noncompact type.

First Page

2403

Last Page

2436

DOI

10.1093/imrn/rnz165

Publication Date

2-1-2021

Comments

Open Access, Green

Recommended Citation

Bhowmik, Mithun and Ray, Swagato K., "A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type" (2021). Journal Articles. 2093.
https://digitalcommons.isical.ac.in/journal-articles/2093