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Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space - MaRDI portal

Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space (Q1614758)

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Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space
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    Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space (English)
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    8 September 2002
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    In the paper under review the author studies the restriction of holomorphic representations on complex symmetric domains \(U(p,q)/U(p) \times U(q)\) to real symmetric domains \(O(p,q)/O (p)\times O(q)\). An explicit Plancherel formula is obtained.
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    Berezin representation
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    Riemannian symmetric space
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    holomorphic representations
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    Plancherel formula
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