Determinants of pseudodifferential operators and complex deformations of phase space
| dc.creator | Melin, A. | |
| dc.creator | Sjoestrand, J. | |
| dc.date | 2001-11-28 | |
| dc.date.accessioned | 2026-07-07T04:44:49Z | |
| dc.date.available | 2026-07-07T04:44:49Z | |
| dc.description | Consider an h-pseudodifferential operator P, whose symbol extends holomorphically to a tubular neighborhood of the real phase space and converges sufficiently fast to 1, so that the determinant of P is well-defined. We show that the modulus of this determinant is asymptotically bounded by an exponential of the integral of the logarithm of the modulus of the symbol along a certain complex deformation of the real phase space. Since there are many possible such deformations, we get a variational problem. The paper is devoted to the corresponding variational calculus. | |
| dc.identifier | https://arxiv.org/abs/math/0111292 | |
| dc.identifier | http://arxiv.org/abs/math/0111292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62749 | |
| dc.subject | Spectral Theory | |
| dc.subject | Functional Analysis | |
| dc.subject | 31C10; 35P05; 37J45; 37K05; 47J20; 58J52 | |
| dc.title | Determinants of pseudodifferential operators and complex deformations of phase space | |
| dc.type | text |