The determinant of the Dirichlet-to-Neumann map for surfaces with boundary

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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.
16 pages

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Spectral Theory, 11M36, 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/135439

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701727
 http://arxiv.org/abs/math/0701727

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arXiv