Poisson kernels on nilpotent, 3-meta-abelian groups

DOI10.1007/s10231-014-0463-xzbMath1342.43009OpenAlexW1964337627WikidataQ59472762 ScholiaQ59472762MaRDI QIDQ268184

Roman Urban, Richard C. Penney

Publication date: 14 April 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-014-0463-x

zbMATH Keywords

Brownian motiondiffusion processPoisson kernelnilpotent Lie groupsevolution kernelleft-invariant differential operatorstime-dependent parabolic operators

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Harmonic analysis on homogeneous spaces (43A85) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Diffusion processes (60J60) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Related Items (2)

Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups ⋮ Unnamed Item

Cites Work

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• An upper bound for the Poisson kernel on higher rank \(NA\) groups
• Estimates for the Poisson kernel and the evolution kernel on the Heisenberg group
• Exponential functionals of Brownian motion. I: Probability laws at fixed time
• Exponential functionals of Brownian motion. II: Some related diffusion processes
• Multidimensional diffusion processes.
• The evolution and Poisson kernels on nilpotent meta-abelian groups
• A smooth subadditive homogeneous norm on a homogeneous group
• Boundaries for left-invariant sub-elliptic operators on semidirect products of nilpotent and abelian groups.
• Left-invariant degenerate elliptic operators on semidirect extensions of homogeneous groups
• The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding
• Maximal functions related to subelliptic operators invariant under an action of a solvable Lie group
• BESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Bessel Processes, the Integral of Geometric Brownian Motion, and Asian Options
• Estimates for the Poisson kernel on higher rank NA groups
• On certain Markov processes attached to exponential functionals of Brownian motion; application to Asian options
• Exponential functionals of Brownian motion and related processes
• Martin boundary for homogeneous Riemannian manifolds of neagtive curvature at the bottom of the spectrum

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