Harmonic functions along Brownian balls and the Liouville property for solvable Lie groups

DOI10.1007/BF01445121zbMath0806.60061WikidataQ115393529 ScholiaQ115393529MaRDI QIDQ1318075

Bernhard Leeb

Publication date: 26 April 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165101

zbMATH Keywords

harmonic functionLie groupdiffusion processesLiouville propertysolvable Lie group

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• A Poisson formula for semi-simple Lie groups
• Elliptic differential operators and diffusion processes
• Boundaries for left-invariant sub-elliptic operators on semidirect products of nilpotent and abelian groups.
• Stochastic Differential Equations in a Differentiable Manifold
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