Laws of the iterated logarithm for the central part of (semi-)stable measures on the Heisenberg groups

DOI10.1007/BF01298954zbMath0848.60012OpenAlexW2088618650MaRDI QIDQ1912220

Daniel Neuenschwander, Hans-Peter Scheffler

Publication date: 8 October 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178725

zbMATH Keywords

Heisenberg grouplaws of the iterated logarithmstable semigroupsemistable semigroup

Mathematics Subject Classification ID

Strong limit theorems (60F15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Fourier analysis and limit theorems for convolution semigroups on a locally compact group
• A law of the iterated logarithm for semistable laws on vector spaces and homogeneous groups
• A Gaussian central limit theorem for trimmed products on simply connected step 2-nilpotent Lie groups
• A Law of the Iterated Logarithm for Stable Summands
• On Large Deviation Problems for Sums of Random Variables which are not Attracted to the Normal Law
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