A non-probabilistic approach to Poisson spaces

DOI10.1017/S0308210500015900zbMath0511.43001MaRDI QIDQ4748566

Alan L. T. Paterson

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

semigroupPoisson kernelkernelprobability measurePoisson spaceharmonic functions on groupsRees productseparable locally compact groupcommutative C* algebras

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Measures on groups and semigroups, etc. (43A05) Ideals, maximal ideals, boundaries (46J20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

POISSON SPACES FOR PROPER SEMIGROUPS OF SEMI-SIMPLE LIE GROUPS ⋮ The Liouville property and random walks on topological groups ⋮ A Poisson boundary for topological semigroups

Cites Work

• Injectivity and operator spaces
• The evolution of bounded linear functionals with application to invariant means
• A Poisson formula for semi-simple Lie groups
• Compactifications of semitopological semigroups

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