Eigenfunctions of the Laplacian on Rotationally Symmetric Manifolds
نویسنده
چکیده
Eigenfunctions of the Laplacian on a negatively curved, rotationally symmetric manifold M = (Rn, ds2), ds2 = dr2+f(r)2dθ2, are constructed explicitly under the assumption that an integral of f(r) converges. This integral is the same one which gives the existence of nonconstant harmonic functions on M.
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تاریخ انتشار 1998