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. 
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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