Product formulas on a unitary group in three variables
Lei Yang
Abstract
We obtain some basic partial differential operators connected with nonholomorphic automorphic forms on Γ U(2, 1)/K. We give the corresponding Eisenstein series of weight k and automorphic Green functions of weight k. Moreover, we get the product formulas connected with them. As a consequence of the product formulas, we give the functional equations of Eisenstein series associated to a convex cocompact subgroup of U(2,1).
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