Invariant analysis and contractions of symmetric spaces : part II
François Rouvière (1991)
Compositio Mathematica
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François Rouvière (1991)
Compositio Mathematica
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François Rouvière (1990)
Compositio Mathematica
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Harish-Chandra (1965)
Publications Mathématiques de l'IHÉS
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Thomas, Erik G.F. (2002)
Journal of Lie Theory
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Paul Godin (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jacques Faraut, Joachim Hilgert, Gestur Ólafsson (1994)
Annales de l'institut Fourier
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We define on an ordered semi simple symmetric space a family of spherical functions by an integral formula similar to the Harish-Chandra integral formula for spherical functions on a Riemannian symmetric space of non compact type. Associated with these spherical functions we define a spherical Laplace transform. This transform carries the composition product of invariant causal kernels onto the ordinary product. We invert this transform when is a complex group, a real form of ,...
Kamoun, Nouri (1998)
Journal of Lie Theory
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Karl-Hermann Neeb (1999)
Annales de l'institut Fourier
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Let be a real symmetric space and the corresponding decomposition of the Lie algebra. To each open -invariant domain consisting of real ad-diagonalizable elements, we associate a complex manifold which is a curved analog of a tube domain with base , and we have a natural action of by holomorphic mappings. We show that is a Stein manifold if and only if is convex, that the envelope of holomorphy is schlicht and that -invariant plurisubharmonic functions correspond to...