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We prove a general multiplier theorem for symmetric leftinvariant sub-Laplacians with drift on non-compact Lie groups. This considerably improves and extends a result by Hebisch, Mauceri, and Meda. Applications include groups of polynomial growth and solvable extensions of stratified groups.
|Number of pages||34|
|Journal||Revista Matematica Iberoamericana|
|Early online date||17 Jun 2019|
|Publication status||E-pub ahead of print - 17 Jun 2019|
- Spectral multiplier
- Lie group
- Hardy space
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- 1 Finished
Sub-Elliptic Harmonic Analysis
Engineering & Physical Science Research Council
1/01/17 → 31/12/18
Project: Research Councils