Contributions of non-extremum critical points to the semi-classical trace formula

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dc.creatorCamus, Brice
dc.date2004-02-28
dc.date.accessioned2026-07-07T06:33:20Z
dc.date.available2026-07-07T06:33:20Z
dc.descriptionWe study the semi-classical trace formula at a critical energy level for a $h$-pseudo-differential operator on $\mathbb{R}^{n}$ whose principal symbol has a totally degenerate critical point for that energy. We compute the contribution to the trace formula of isolated non-extremum critical points under a condition of "real principal type". The new contribution to the trace formula is valid for all time in a compact subset of $\mathbb{R}$ but the result is modest since we have restrictions on the dimension.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0403007
dc.identifierhttp://arxiv.org/abs/math/0403007
dc.identifierJournal of Functional Analysis, Volume 217, Issue 1 , 1 December 2004, Pages 79-102
dc.identifierdoi:10.1016/j.jfa.2004.02.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99159
dc.subjectFunctional Analysis
dc.titleContributions of non-extremum critical points to the semi-classical trace formula
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