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Hardy's Theorem for simply connected nilpotent Lie groups

Published online by Cambridge University Press:  26 November 2001

EBERHARD KANIUTH
Affiliation:
Fachbereich Mathematik/Informatik, Universität Paderborn, D-33095 Paderborn, Germany. e-mail: kaniuth@math.uni-paderborn.de
AJAY KUMAR
Affiliation:
Department of Mathematics, Rajdhani College (University of Delhi), Raja Garden, New Delhi-110015, India. e-mail: ak1@himalaya.du.ac.in

Abstract

We prove an analogue of Hardy's Theorem for Fourier transform pairs in ℝ for arbitrary simply connected nilpotent Lie groups, thus extending earlier work on ℝn and the Heisenberg groups ℍn.

Type
Research Article
Copyright
© 2001 Cambridge Philosophical Society

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