Geodesic
Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains
Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 365-374.

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We obtain a geometric description of the set of solutions of the Helmholtz equation on unbounded domains.
Keywords: Helmholtz equation, ball means, spherical means, eigenfunctions of the Laplace operator. 
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O. A. Ochakovskaya. Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains. Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 365-374. http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a6/

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