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The Kuznetsov sum formula relates spectral data concerning automorphic forms to geometric data concerning the intersection of a discrete subgroup with the big cell in the Bruhat decomposition. An explicit formula for the integral kernel in the Kloosterman term of this formula is given for the groups isomorphic to SU(n + 1, 1), n > 2 and arbitrary one dimensional K-types.

The integral kernel in the Kuznetsov sum formula for SU (n+1,1) (II). The case of one dimensional K-types