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Part of the book series: Mathematics and Its Applications ((MAIA,volume 531))

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Abstract

Chapter III is devoted to the investigation of (semi-) stability on general locally compact groups. One of the main aims is to show that the investigations frequently lead naturally to contractible groups, and hence — at least for real Lie groups — to the objects of the previous Chapters, to simply connected nilpotent Lie groups and — via the translation procedure of Chapter II — to vector spaces.

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Hazod, W., Siebert, E. (2001). (Semi-) stability and limit theorems on general locally compact groups. In: Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups. Mathematics and Its Applications, vol 531. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3061-7_3

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  • DOI: https://doi.org/10.1007/978-94-017-3061-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5832-4

  • Online ISBN: 978-94-017-3061-7

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