On the kernel of the product formula on symmetric spaces (Q1768087)

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scientific article; zbMATH DE number 2144344
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On the kernel of the product formula on symmetric spaces
scientific article; zbMATH DE number 2144344

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    On the kernel of the product formula on symmetric spaces (English)
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    14 March 2005
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    In the paper under review the regularity properties of the density of the measure \(\mu_{x,y}= \delta e^x* \delta e^y\) intervening in the product formula for the spherical functions on symmetric spaces of non-compact type are studied. Under certain conditions, using spherical Fourier theory, an expression for the kernel is found. A geometric construction of its support is also given.
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    symmetric spaces
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    product formula
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