Resolvent Expansions on Hybrid Manifolds |
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| Authors: | Konstantin Pankrashkin Svetlana Roganova Nader Yeganefar |
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| Institution: | 1.Laboratoire de mathématiques d’Orsay, CNRS UMR 8628,Université Paris Sud 11,Orsay Cedex,France;2.Institut für Mathematik,Humboldt-Universit?t,Berlin,Germany;3.URSSAF,Marseille,France;4.Laboratoire d’Analyse, topologie, probabilités, CNRS UMR 6632,Centre de Mathématiques et Informatique,Marseille Cedex,France |
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| Abstract: | We study Laplace-type operators on hybrid manifolds, i.e., on configurations consisting of closed two-dimensional manifolds
and one-dimensional segments. Such an operator can be constructed by using the Laplace–Beltrami operators on each component
with some boundary conditions at the points of gluing. The large spectral parameter expansion of the trace of the second power
of the resolvent is obtained. Some questions of the inverse spectral theory are addressed. |
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