Mean Value Properties of the Laplacian
نویسندگان
چکیده
Let <¡>(z2) be an even entire function of temperate exponential type, L a selfadjoint realization of -A + c(x), where A is the Laplace-Beltrami operator on a Riemannian manifold, and <¡>(L) the operator given by spectral theory. A PaleyWiener theorem on the support of ( L) is proved, and is used to show that Lu = \u on a suitable domain implies (L)u = (L) is given in the case of a compact Lie group or a noncompact symmetric space with complex isometry group.
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تاریخ انتشار 2009