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.
Drifted Laplace operators on homogeneous trees / CASADIO TARABUSI, Enrico; FIGA' TALAMANCA, Alessandro. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 135:(2007), pp. 2165-2175. [10.1090/S0002-9939-07-08811-9]
Drifted Laplace operators on homogeneous trees
CASADIO TARABUSI, Enrico;FIGA' TALAMANCA, Alessandro
2007
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.File allegati a questo prodotto
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