Harmonic analysis on symmetric Stein manifolds from the point of view of complex analysis |
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Authors: | Simon Gindikin |
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Institution: | (1) Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghysen Road, Piscataway, NJ 08854-8019, USA |
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Abstract: | The classical theory of finite dimensional representations of compact and complex semisimple Lie groups is discussed from
the perspective of multidimensional complex geometry and analysis. The key tool is the complex horospherical transform which
establishes a duality between spaces of holomorphic functions on symmetric Stein manifolds and dual horospherical manifolds.
Communicated by: Toshiyuki Kobayashi |
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Keywords: | Stein symmetric manifolds horosphere horospherical Caushy transform |
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