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Drifted Laplace operators on homogeneous trees |
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| Authors: | Enrico Casadio Tarabusi Alessandro Figà -Talamanca |
| Affiliation: | Dipartimento di Matematica ``G. Castelnuovo', Università di Roma ``La Sapienza', Piazzale A. Moro 2, 00185 Roma, Italy ; Dipartimento di Matematica ``G. Castelnuovo', Università di Roma ``La Sapienza', Piazzale A. Moro 2, 00185 Roma, Italy |
| Abstract: | We determine the spectrum and the resolvent operator of a drifted Laplace operator on a homogeneous tree, obtaining qualitatively different results according to the sign of the drift in the direction of a boundary point. |
| Keywords: | Homogeneous trees Laplace operator drifts spectrum resolvent operator |
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