Representations and stochastic processes on groups of type-H

DOI10.1006/jfan.1993.1084zbMath0797.60012OpenAlexW2004212779MaRDI QIDQ2368156

Philip Feinsilver, René Schott, Jerzy Kocik

Publication date: 10 October 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1993.1084

zbMATH Keywords

Heisenberg grouppolynomial representationAppell polynomialsdual representationsplitting formulaBrownian motion on a groupheat-flow on polynomial functions

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Nilpotent and solvable Lie groups (22E25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

On the local and asymptotic behavior of Brownian motion on simply connected nilpotent Lie groups ⋮ Lie algebras and recurrence relations IV: Representations of the Euclidean group and Bessel functions ⋮ Operator calculus approach to orthogonal polynomial expansions ⋮ \(K\) terms recurrence relations and polynomial variance functions of the \(K\)th degree

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