A Paley-Wiener theorem for the inverse spherical transform (Q1568941)

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scientific article; zbMATH DE number 1463771
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A Paley-Wiener theorem for the inverse spherical transform
scientific article; zbMATH DE number 1463771

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    A Paley-Wiener theorem for the inverse spherical transform (English)
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    22 June 2000
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    A Paley-Wiener theorem for the inverse spherical transform is proved for noncompact semisimple Lie groups which are either of rank one or have a complex structure. The proof relies on the explicit inversion formula for the Abel transform due to Rouvière and Gangolli.
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    Paley-Wiener theorem
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    inverse spherical transform
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    semisimple Lie groups
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    inversion formula
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    Abel transform
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