Behaviour at infinity of solutions of twisted convolution equations

V. V. Volchkov ; Vit. V. Volchkov

Izvestiya. Mathematics , Tome 76 (2012) no. 1, pp. 79-93.

Résumé

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.

Détail

Keywords: Heisenberg group, twisted convolution equation, two-radii theorem, confluent hypergeometric functions.

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