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Abstract
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.
Original language | English |
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Pages (from-to) | 1501-1534 |
Number of pages | 34 |
Journal | Revista Matematica Iberoamericana |
Volume | 35 |
Issue number | 5 |
Early online date | 17 Jun 2019 |
DOIs | |
Publication status | E-pub ahead of print - 17 Jun 2019 |
Keywords
- Spectral multiplier
- sub-Laplacian
- Lie group
- drift
- Hardy space
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Dive into the research topics of 'A multiplier theorem for sub-Laplacians with drift on Lie groups'. Together they form a unique fingerprint.Projects
- 1 Finished
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Sub-Elliptic Harmonic Analysis
Engineering & Physical Science Research Council
1/01/17 → 31/12/18
Project: Research Councils