2005arXiv (Cornell University)Open access

Orbits of triples in the Shilov boundary of a bounded symmetric domain

Jean-Louis Clerc, Karl‐Hermann Neeb

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Abstract

Let ${\cal D}$ be a bounded symmetric domain of tube type, $S$ its Shilov boundary, and $G$ the neutral component of its group of biholomorphic transforms. We classify the orbits of $G$ in the set $S\times S\times S$.

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Let ${\cal D}$ be a bounded symmetric domain of tube type, $S$ its Shilov boundary, and $G$ the neutral component of its group of biholomorphic transforms. We classify the orbits of $G$ in the set $S\times S\times S$.

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Available abstract

Let ${\cal D}$ be a bounded symmetric domain of tube type, $S$ its Shilov boundary, and $G$ the neutral component of its group of biholomorphic transforms. We classify the orbits of $G$ in the set $S\times S\times S$.

Key concepts: Bounded function, Boundary (topology), Domain (mathematical analysis), Component (thermodynamics), Mathematics, Set (abstract data type), Type (biology), Pure mathematics

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