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Holomorphic extension of eigenfunctions

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Let X = G/K 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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Correspondence to Bernhard Krötz.

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Krötz, B., Schlichtkrull, H. Holomorphic extension of eigenfunctions. Math. Ann. 345, 835–841 (2009). https://doi.org/10.1007/s00208-009-0379-8

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  • DOI: https://doi.org/10.1007/s00208-009-0379-8

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