Transactions of the American Mathematical Society

Author(s): Michel Marias
Journal: Trans. Amer. Math. Soc. 350 (1998), 4367-4375.
MSC (1991): Primary 58G25, 60J45
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Abstract: Eigenfunctions of the Laplacian on a negatively curved, rotationally symmetric manifold $M=(\mathbf{R}^n,ds^2),$ $ds^2=dr^2+f(r)^2d\theta ^2,$ are constructed explicitly under the assumption that an integral of

converges. This integral is the same one which gives the existence of nonconstant harmonic functions on

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 58G25, 60J45

Michel Marias
Affiliation: Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54.006, Greece
Email: marias@ccf.auth.gr

DOI: 10.1090/S0002-9947-98-02354-X
PII: S 0002-9947(98)02354-X
Keywords: Rotationally symmetric manifolds, radial curvature, eigenfunctions, harmonic functions, heat kernels, diffusion processes, subordination measure.
Received by editor(s): July 16, 1995
Received by editor(s) in revised form: January 18, 1996
Copyright of article: Copyright 1998, American Mathematical Society

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