论文标题

兰金·科恩(Rankin-Cohen)支架在管型域上

Rankin-Cohen brackets on tube-type domains

论文作者

Clerc, Jean-Louis

论文摘要

在管型结构域上的全体形态双分差算子获得了一个新的公式,该公式与两个标量塑性表示的张量产物的分解相关,从而推广了经典的Rankin-Cohen支架。该公式涉及几个变量的多项式系列,这些族可能被视为经典雅各比多项式的(弱)概括。

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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