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Some uncertainty principles for diamond Lie groups
-
Ali Baklouti
and
Dhoha Lahyani
Published/Copyright:
June 25, 2015
Abstract
So far, the uncertainty principles for solvable non-exponential Lie groups have been treated only in few cases. The first author and Kaniuth produced an analogue of Hardy's theorem for a diamond Lie group, which is a semi-direct product of ℝd with the Heisenberg group
Funding source: D.G.R.S.R.T
Award Identifier / Grant number: LR 11ES52
The authors are deeply indebted to the referee for having suggested us many valuable comments to get the present form of the paper.
Received: 2014-12-12
Revised: 2015-2-14
Accepted: 2015-2-20
Published Online: 2015-6-25
Published in Print: 2015-10-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Geometric and harmonic analysis on homogeneous spaces and applications: Hammamet, December 2013
- Some questions related to the Bergman projection in symmetric domains
- Some uncertainty principles for diamond Lie groups
- Uncertainty principles and characterization of the heat kernel for certain differential-reflection operators
- Topology on the unitary dual of completely solvable Lie groups
- Rayleigh theorem, projection of orbital measures and spline functions
Articles in the same Issue
- Frontmatter
- Geometric and harmonic analysis on homogeneous spaces and applications: Hammamet, December 2013
- Some questions related to the Bergman projection in symmetric domains
- Some uncertainty principles for diamond Lie groups
- Uncertainty principles and characterization of the heat kernel for certain differential-reflection operators
- Topology on the unitary dual of completely solvable Lie groups
- Rayleigh theorem, projection of orbital measures and spline functions
