Aarhus Universitets segl

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

Kyohei Itakura (University of Kobe)
Torsdag 4. oktober 2018 13:15–14:00 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.

Kontakt: Erik Skibsted Revideret: 28.09.2018