A Gaussian central limit theorem for trimmed products on simply connected step 2-nilpotent Lie groups

DOI10.1007/BF02213459zbMath0820.60003WikidataQ115392709 ScholiaQ115392709MaRDI QIDQ1345084

Daniel Neuenschwander

Publication date: 26 February 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupnilpotencepolar decompositionexponential Lie groupsstable convolution semigrouptrimmed product

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

A limit theorem for truncated measures in generalized convolution algebras ⋮ Laws of the iterated logarithm for the central part of (semi-)stable measures on the Heisenberg groups

Cites Work

• Limit theorems for probability measures on simply connected nilpotent Lie groups
• Continuous automorphism groups on a locally compact group contracting modulo a compact subgroup and applications to stable convolution semigroups
• Extreme values and a Gaussian central limit theorem
• Fourier analysis and limit theorems for convolution semigroups on a locally compact group
• Limits of commutative triangular systems on simply connected step 2- nilpotent Lie groups
• The domains of partial attraction of probabilities on groups and on vector spaces
• Stetige Faltungshalbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen
• Uniqueness of embedding into a Gaussian semigroup on a nilpotent Lie group
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
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