Lévy processes, pseudo-differential operators and Dirichlet forms in the Heisenberg group

DOI10.5802/afst.1067zbMath1075.60048OpenAlexW2038238813MaRDI QIDQ2388663

Serge Cohen, David Applebaum

Publication date: 15 September 2005

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2004_6_13_2_149_0

zbMATH Keywords

Hunt processSchrödinger representationinfinitesimal generatorsMehler's formula

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Pseudodifferential operators as generalizations of partial differential operators (35S05) Dirichlet forms (31C25) Diffusion processes and stochastic analysis on manifolds (58J65) Pseudodifferential operators (47G30)

Related Items (6)

Sub-Feller semigroups generated by pseudodifferential operators on symmetric spaces of noncompact type ⋮ The Wiener measure on the Heisenberg group and parabolic equations ⋮ An extension problem for the CR fractional Laplacian ⋮ On the Hölder property of trajectories in a set of full Wiener measure on the Heisenberg group ⋮ Lévy processes in a step 3 nilpotent Lie group ⋮ On the transfer of the Wiener measure to the set of continuous trajectories in the Heisenberg group

Cites Work

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