Complex Lie semigroups, Hardy spaces and the Gel'fand-Gindikin program

DOI10.1016/0926-2245(91)90002-QzbMath0789.22011OpenAlexW2165913551WikidataQ115362859 ScholiaQ115362859MaRDI QIDQ1311957

Grigori Olshanski

Publication date: 31 January 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(91)90002-q

zbMATH Keywords

Hardy spacesbounded symmetric domaingroup of motionsinvariant conepseudo- Riemannian symmetric spacecomplex Lie semigroupHermitian Lie algebra

Mathematics Subject Classification ID

Analysis on topological semigroups (22A20) Analysis on real and complex Lie groups (22E30) General properties and structure of real Lie groups (22E15) Analysis on ordered groups, (H^p)-theory (43A17)

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Cites Work

• Complex manifolds whose skeletons are semisimple real Lie groups and analytic discrete series representations
• Invariant convex cones and orderings in Lie groups
• Invariant convex cones and causality in semisimple Lie algebras and groups
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• The representations of the oscillator group
• Analytic Extension of the Holomorphic Discrete Series
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