Hardy's Theorem for simply connected nilpotent Lie groups

Authors
Kaniuth, E Kumar, A
Citation
E. Kaniuth et A. Kumar, Hardy's Theorem for simply connected nilpotent Lie groups, MATH PROC C, 131, 2001, pp. 487-494
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
ISSN journal
03050041 → ACNP
Volume
131
Year of publication
2001
Part
3
Pages
487 - 494
Database
ISI
SICI code
0305-0041(200111)131:<487:HTFSCN>2.0.ZU;2-M
Abstract
We prove an analogue of Hardy's Theorem for Fourier transform pairs in R fo r arbitrary simply connected nilpotent Lie groups, thus extending earlier w ork on R-n and the Heisenberg groups H-n.