Abstract
The aim of this talk is to describe a generalization of the classical Mourre theorem [M1] to the Krein space setting. Applications to the Klein–Gordon equation are given. The talk is based on joint work with Vladimir Georgescu and Christian Gérard. Details of the proofs can be found in [GGH1] and [GGH2].
Mathematics Subject Classification (2010). 35L05, 35P25, 81U99, 81Q05.
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Häfner, D. (2016). Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation. In: Mantoiu, M., Raikov, G., Tiedra de Aldecoa, R. (eds) Spectral Theory and Mathematical Physics. Operator Theory: Advances and Applications, vol 254. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29992-1_8
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DOI: https://doi.org/10.1007/978-3-319-29992-1_8
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29990-7
Online ISBN: 978-3-319-29992-1
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