Compactifications of symmetric spaces

J. C. Taylor, Yves Guivarc'h, Lizhen Ji

Publication date: 21 September 1998

Published in: Progress in Mathematics (Search for Journal in Brave)

random walks symmetric spaces compactifications Gelfand pairs Laplace-Beltrami operator heat kernel convolution operator amenability semisimple Lie group heat semigroup locally compact groups Martin compactifications Furstenberg-Satake compactifications Furstenberg's fixed line property Karpelevič compactifications

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Martin boundary theory (31C35) Probabilistic potential theory (60J45) Semisimple Lie groups and their representations (22E46) Diffusion processes and stochastic analysis on manifolds (58J65) Boundary theory for Markov processes (60J50) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

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