A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type-Reference-Cited by-同舟云学术

A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type

Published:2019-07-31 Issue:4 Volume:2021 Page:2403-2436
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bhowmik Mithun¹,Ray Swagato K¹

Affiliation:

1. Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata - 700108, India

Abstract

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.

Funder

Indian Statistical Institute, India

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/4/2403/36271483/rnz165.pdf

Reference29 articles.

1. A basic inequality for scattering theory on Riemannian symmetric spaces of the noncompact type;Anker;Amer. J. Math.,1991

2. Spherical analysis on harmonic AN groups;Anker;Ann. Scuola Norm. Sup. Pisa Cl. Sci.,1996

3. Hardy’s uncertainty principle on certain lie groups;Astengo;J. London Math. Soc.,2000

4. Uncertainty principles of Ingham and Paley–Wiener on semisimple lie groups;Bhowmik;Israel J. Math.,2018

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