Strong hypercontractivity in non-commutative holomorphic spaces
| dc.creator | Kemp, Todd | |
| dc.date | 2004-10-25 | |
| dc.date | 2005-09-23 | |
| dc.date.accessioned | 2026-07-07T06:18:48Z | |
| dc.date.available | 2026-07-07T06:18:48Z | |
| dc.description | We introduce holomorphic algebras $H_q$ in the context of the q-Gaussian algebra $Γ_q$ of Bozejko, Kümmerer, and Speicher, and give a q-Segal-Bargmann transform for them. We then prove a strong hypercontractivity theorem, generalizing Janson's strong (holomorphic) hypercontractivity, from $L^2(H_q) \to L^r(H_q)$ for r an even integer. | |
| dc.description | 25 pages, uses package xy | |
| dc.identifier | https://arxiv.org/abs/math/0410534 | |
| dc.identifier | http://arxiv.org/abs/math/0410534 | |
| dc.identifier | Commun. Math. Phys. 259 (2005), no. 3, 615 - 637 | |
| dc.identifier | doi:10.1007/s00220-005-1379-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94858 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.title | Strong hypercontractivity in non-commutative holomorphic spaces | |
| dc.type | text |