- 95-43 Alain Grigis, Fr\'ed\'eric Klopp.
- Valeurs propres et r\'esonances au voisinage d'un seuil.
Feb 11, 95
(auto. generated ps),
of related papers
Abstract. In an abstract setting, we consider an operator whose resolvent can be extended meromorphically to a Riemann surface near a branching
point. The operator depends on a parameter, and we study the behavior of the resonances i.e. poles of the resolvent as functions of the parameter;
in particular, we study what happens when a resonance is located at the branching point. This study may be applied to a periodic Schr\"odinger
operator perturbed by a compactly supported potential. The parameter is a coupling constant and the branching point is an edge of the absolutely
continuous spectrum of the periodic operator.
Remark: the paper is written in french.