Geodesic
Behaviour at infinity of solutions of twisted convolution equations
Izvestiya. Mathematics , Tome 76 (2012) no. 1, pp. 79-93

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We obtain a precise characterization of the minimal rate of growth at infinity of non-trivial solutions of twisted convolution equations in unbounded domains of $\mathbb{C}^n$. As an application, we obtain definitive versions of the two-radii theorem for twisted spherical means.
Keywords: Heisenberg group, twisted convolution equation, two-radii theorem, confluent hypergeometric functions. 
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V. V. Volchkov; Vit. V. Volchkov. Behaviour at infinity of solutions of twisted convolution equations. Izvestiya. Mathematics , Tome 76 (2012) no. 1, pp. 79-93. http://geodesic.mathdoc.fr/item/IM2_2012_76_1_a2/