Existence of resonances for Schrodinger operators on hyperbolic space

David Borthwick; Yiran Wang

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Existence of resonances for Schrodinger operators on hyperbolic space

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arxiv 2110.06370 v3 pith:VT3CHIOW submitted 2021-10-12 math.SP

Existence of resonances for Schrodinger operators on hyperbolic space

David Borthwick , Yiran Wang This is my paper

classification math.SP

keywords existencehyperbolicoperatorsresonancesresultsspaceassociatedasymptotics

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We prove existence results and lower bounds for the resonances of Schr\"odinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are derived from a combination of heat and wave trace expansions and asymptotics of the scattering phase.

Existence of resonances for Schrodinger operators on hyperbolic space

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