The Plancherel formula for line bundles on complex hyperbolic spaces (Q1583571)

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scientific article; zbMATH DE number 1522073
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The Plancherel formula for line bundles on complex hyperbolic spaces
scientific article; zbMATH DE number 1522073

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    The Plancherel formula for line bundles on complex hyperbolic spaces (English)
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    29 October 2000
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    The Plancherel formula is obtained in explicit form in terms of spherical distributions for the spaces of \(L^2\)-sections of the line bundles over complex projective hyperboloids \(G/H\) with \(G=U(p,q;C)\) and \(H=U(1,C)\times U(p-1,C)\).
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    Plancherel formula
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    spherical distributions
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    complex hyperbolic spaces
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