We study holographic operators associated with Rankin–Cohen brackets which are symmetry breaking operators for the restriction of tensor products of holomorphic discrete series of the universal covering of [Formula: see text]. Furthermore, we investigate a geometrical interpretation of these operators and their relations to classical Jacobi polynomials.

中文翻译：

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全纯离散级数张量积的全息变换

我们研究了与 Rankin-Cohen 括号相关的全息算子，它们是对称破缺算子，用于限制 [公式：见正文] 的全纯离散级数的张量积。此外，我们研究了这些算子的几何解释及其与经典雅可比多项式的关系。