Drifted Laplace operators on homogeneous trees

Casadio Tarabusi, Enrico; Figà-Talamanca, Alessandro

doi:10.1090/S0002-9939-07-08811-9

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.

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