Abstract
We study the Eisenstein series for a convex cocompact discrete subgroup on a two-dimensional complex hyperbolic space ℍ 2ℂ . We find an inner product formula which gives the connection between Eisenstein series and automorphic Green functions on a two-dimensional complex hyperbolic space ℍ 2ℂ . As an application of our inner product formula, we obtain the functional equations of Eisenstein series.
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Yang, L. An inner product formula on two-dimensional complex hyperbolic space. Acta. Math. Sin.-English Ser. 27, 2285–2300 (2011). https://doi.org/10.1007/s10114-011-8071-9
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DOI: https://doi.org/10.1007/s10114-011-8071-9