Behaviour at infinity of solutions of twisted convolution equations (Q2880627)
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scientific article; zbMATH DE number 6024076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Behaviour at infinity of solutions of twisted convolution equations |
scientific article; zbMATH DE number 6024076 |
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Behaviour at infinity of solutions of twisted convolution equations (English)
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13 April 2012
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Heisenberg group
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twisted convolution equation
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two-radii theorem
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confluent hypergeometric functions
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This paper is devoted to give a precise characterization of the minimal rate of growth at infinity of non-trivial solutions of twisted convolution equations in unbounded domains of \( \mathbb{C}^n\). Some properties of solutions of twisted convolution equations are explained. Moreover, definite versions of the two-radii theorem for twisted spherical means are obtained.
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