Problème spectrale concernant l’opérateur de Laplace et les domaines des polyèdres générés par le système de racines de type C. (Spectral problem for the Laplace operator and polyhedral domains generated by root systems of type C). (French) Zbl 0601.35085
The authors study the spectral problem for the Laplace operator in the simplex domain which corresponds to the series \(C_ n\), i.e., to the complex Lie semigroup of dimension 2n.
Reviewer: E.Mascolo
MSC:
| 35P05 | General topics in linear spectral theory for PDEs |
| 35L05 | Wave equation |
| 43A45 | Spectral synthesis on groups, semigroups, etc. |
