Singularites reelles isolees et developpements asymptotiques d'integrales oscillantes
| dc.creator | Barlet, Daniel | |
| dc.date | 2003-04-01 | |
| dc.date | 2003-04-02 | |
| dc.date.accessioned | 2026-07-07T04:56:32Z | |
| dc.date.available | 2026-07-07T04:56:32Z | |
| dc.description | Let (X_R, 0) be a germ of real analytic subset in (R^N, 0) of pure dimension n+1 with an isolated singularity at 0. Let (f_R,0) : (X_R, 0) --> (R,0) a real analytic germ with an isolated singularity at 0, such that its complexification f_C vanishes on the singular set S of X_C. We also assume that X_R-[0] is orientable. To each $ A \in H^{0}(X_{\mathbb{R}} - \lbrace 0 \rbrace ,\mathbb {C}) $ we associate a $n-$cycle $ Γ(A) $ ("explicitly " described) in the complex Milnor fiber of $f_{\mathbb{C}}$ at 0 such that the non trivial terms in the asymptotic expansions of the oscillating integrals $ \int_{A} e^{iτf(x)} ϕ(x) $ when $ τ\to \pm \infty $ can be read from the spectral decomposition of $Γ(A) $ relative to the monodromy of $f_{\mathbb{C}}$ at 0 . | |
| dc.identifier | https://arxiv.org/abs/math/0304008 | |
| dc.identifier | http://arxiv.org/abs/math/0304008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66956 | |
| dc.subject | Complex Variables | |
| dc.subject | 32S40 14P15 32S55 32C30 | |
| dc.title | Singularites reelles isolees et developpements asymptotiques d'integrales oscillantes | |
| dc.type | text |