The determinant of the Dirichlet-to-Neumann map for surfaces with boundary
Résumé
For any orientable compact surface with boundary, we compute the regularized determinant of the Dirichlet-to-Neumann (DN) map in terms of particular values of dynamical zeta functions by using natural uniformizations, one due to Mazzeo-Taylor, the other to Osgood-Phillips-Sarnak. We also relate in any dimension the DN map for the Yamabe operator to the scattering operator for a conformally compact related problem by using uniformization.
Domaines
Théorie spectrale [math.SP]
Origine : Fichiers produits par l'(les) auteur(s)
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