Sanjay, PK and Thangavelu, Sundaram (2012) Revisiting Riesz transforms on Heisenberg groups. In: REVISTA MATEMATICA IBEROAMERICANA, 28 (4). pp. 1091-1108.
|
PDF
1110.3236.pdf - Completed Version Download (213kB) | Preview |
Official URL: http://dx.doi.org/10.4171/RMI/704
Abstract
We characterise higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. Using transference theorems, we deduce boundedness theorems for Riesz transforms on the reduced Heisenberg group and hence also for the Riesz transforms associated to multiple Hermite and Laguerre expansions.
| Item Type: | Journal Article |
|---|---|
| Publication: | REVISTA MATEMATICA IBEROAMERICANA |
| Publisher: | EUROPEAN MATHEMATICAL SOC |
| Additional Information: | Copyright for this article belongs to EUROPEAN MATHEMATICAL SOC, SWITZERLAND |
| Keywords: | Riesz transforms;Heisenberg groups;Fourier multipliers;Hermite functions;Laguerre functions |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 31 Dec 2012 08:24 |
| Last Modified: | 31 Dec 2012 08:24 |
| URI: | http://eprints.iisc.ac.in/id/eprint/45609 |
Actions (login required)
 |
View Item |
