Asymptotic approximation of degenerate fiber integrals
| dc.creator | Camus, Brice | |
| dc.date | 2005-03-23 | |
| dc.date.accessioned | 2026-07-07T06:33:20Z | |
| dc.date.available | 2026-07-07T06:33:20Z | |
| dc.description | We study asymptotics of fiber integrals depending on a large parameter. When the critical fiber is singular, full-asymptotic expansions are established in two different cases : local extremum and isolated real principal type singularities. The main coefficients are computed and invariantly expressed. In the most singular cases it is shown that the leading term of the expansion is related to invariant measures on the spherical blow-up of the singularity. The results can be applied to certain degenerate oscillatory integrals which occur in spectral analysis and quantum mechanics. | |
| dc.description | 22 pages, perhaps to be revised | |
| dc.identifier | https://arxiv.org/abs/math/0503505 | |
| dc.identifier | http://arxiv.org/abs/math/0503505 | |
| dc.identifier | Journal of Mathematical Analysis and Applications. Volume 320, Issue 2 , 15 August 2006, Pages 528-542 | |
| dc.identifier | doi:10.1016/j.jmaa.2005.07.046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99160 | |
| dc.subject | General Mathematics | |
| dc.title | Asymptotic approximation of degenerate fiber integrals | |
| dc.type | text |