Reference : Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/26566
Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries
English
Aldana Dominguez, Clara Lucia mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Albin, Pierre []
Rochon, Frédéric []
Apr-2015
Journal of Geometric Analysis (The)
Springer New York LLC
25
2
1185-1210
Yes (verified by ORBilu)
1050-6926
1559-002X
New York
NY
[en] Inverse spectral problem ; Analytic surgery ; Hyperbolic cusps ; Hyperbolic funnels ; Relatively isospectral
[en] We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactness result for such families via a conformal surgery that allows us to reduce to the case of surfaces hyperbolic near infinity recently studied by Borthwick and Perry, or to the closed case by Osgood, Phillips, and Sarnak if there are only cusps.
http://hdl.handle.net/10993/26566
10.1007/s12220-013-9463-0

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