Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T01:21:32.362Z Has data issue: false hasContentIssue false

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: [email protected]
AJAY KUMAR
Affiliation:
Department of Mathematics, Rajdhani College (University of Delhi), Raja Garden, New Delhi-110015, India. e-mail: [email protected]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)