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Rankin-Cohen brackets on tube-type domains
Published 13 Mar 2020 in math.RT | (2003.06133v2)
Abstract: A new formula is obtained for the holomorphic bi-differential operators on tube-type domains which are associated to the decomposition of the tensor product of two scalar holomorphic representations, thus generalizing the classical Rankin-Cohen brackets. The formula involves a family of polynomials of several variables which may be considered as a (weak) generalization of the classical Jacobi polynomials.
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