Abstract
We determine the generating distributions of the full continuous convolution semigroups of probabilities on the Heisenberg groups which are stable in the sense of Hazod. We obtain a classification of the limit distributions on the Heisenberg groups for the case of identically distributed random variables without centering.
Keywords
- Automorphism Group
- Heisenberg Group
- Closed Subgroup
- Semi Group
- Vector Group
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© 1984 Springer-Verlag
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Drisch, T., Gallardo, L. (1984). Stable laws on the heisenberg groups. In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073634
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DOI: https://doi.org/10.1007/BFb0073634
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13341-4
Online ISBN: 978-3-540-38874-6
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