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On Rellich's theorem and limiting absorption principle for repulsive Hamiltonians

Kyohei Itakura (University of Kobe)
Torsdag, 4 oktober, 2018, at 13:15-14:00, in Aud. D2 (1531-119)

We deal with the Hamiltonians with a spherically symmetric repulsive potential. For such Hamiltonians we prove Rellich's theorem, or identify the largest weighted space of Agmon-Hörmander type where the generalized eigenfunctions are absent. By considering Rellich's theorem we obtain the locally uniform boundedness of the resolvent between appropriate function spaces. This is a stronger estimate than the usual one.

Kontaktperson: Erik Skibsted