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The L- L analog of Morgan's theorem on exponential solvable Lie groups.

Authors :
Abdelmoula, F.
Baklouti, A.
Source :
Mathematical Notes. Oct2010, Vol. 88 Issue 3/4, p464-478. 15p.
Publication Year :
2010

Abstract

In this paper, we define an analog of the L- L Morgan's uncertainty principle for any exponential solvable Lie group G ( p, q ∈ [1,+∞]). When G is nilpotent and has a noncompact center, the proof of such an analog is given for p, q ∈ [2,+∞], extending the earlier settings ([2], [4] and [5]). Such a result is only known for some particular restrictive cases so far. We also prove the result for general exponential Lie groups with nontrivial center. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00014346
Volume :
88
Issue :
3/4
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
55052306
Full Text :
https://doi.org/10.1134/S000143461009018X