Drifted Laplace operators on homogeneous trees
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- by Enrico Casadio Tarabusi and Alessandro Figà-Talamanca PDF
- Proc. Amer. Math. Soc. 135 (2007), 2165-2175 Request permission
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.References
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Additional Information
- Enrico Casadio Tarabusi
- Affiliation: Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italy
- Email: casadio@mat.uniroma1.it
- Alessandro Figà-Talamanca
- Affiliation: Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italy
- Email: sandroft@mat.uniroma1.it
- Received by editor(s): March 21, 2006
- Published electronically: February 8, 2007
- Communicated by: Michael T. Lacey
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2165-2175
- MSC (2000): Primary 43A85; Secondary 05C05
- DOI: https://doi.org/10.1090/S0002-9939-07-08811-9
- MathSciNet review: 2299494