Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups-Reference-Cited by-同舟云学术

Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups

Published:2007-02 Issue:1 Volume:82 Page:11-27
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Parui S.,Thangavelu S.

Abstract

AbstractIn this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on Rn. Using this we formulate and prove an uncertainty principle for operators. This leads to an analogue of the Cowling-Price theorem for nilpotent Lie groups. We also prove an exact analogue of the Cowling-Price theorem for the Heisenberg group.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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