Holomorphic Extension of Eigenfunctions
classification
🧮 math.RT
keywords
eigenfunctionsextensionholomorphicdifferentialequationslaplace-beltraminon-compactoperator
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Let X be a Riemannian symmetric space of non-compact type. We prove a theorem of holomorphic extension for eigenfunctions of the Laplace-Beltrami operator on X, by techniques from the theory of partial differential equations.
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