Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for $L^2$-harmonic forms
| dc.creator | Orsted, Bent | |
| dc.creator | Zhang, Genkai | |
| dc.date | 2004-12-01 | |
| dc.date.accessioned | 2026-07-07T05:14:51Z | |
| dc.date.available | 2026-07-07T05:14:51Z | |
| dc.description | We compute the spectra of the Tanaka type Laplacians on the Rumin complex, a quotient of the tangential Cauchy-Riemann complex on the unit sphere in $C^n$. We prove that Szegö map is a unitary operator from a subspace of $(p, q-1)$-forms on the sphere defined by the Tanaka operators and the normal vector field onto the space of $L^2$-harmonic $(p, q)$-forms on the unit ball. Our results generalize earlier result of Folland. | |
| dc.identifier | https://arxiv.org/abs/math/0412017 | |
| dc.identifier | http://arxiv.org/abs/math/0412017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73440 | |
| dc.subject | Representation Theory | |
| dc.subject | Complex Variables | |
| dc.title | Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for $L^2$-harmonic forms | |
| dc.type | text |