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STAR PRODUCTS AND APPLICATIONS

机译:明星产品和应用

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摘要

Star products parametrized by complex matrices are defined. Especially commutative associative star products are treated, and star exponentials with respect to these star products are considered. Jacobi's theta functions are given as infinite sums of star exponentials. As application, several concrete identities are obtained by properties of the star exponentials.
机译:定义了由复杂矩阵参数化的星积。尤其要处理可交换的关联星积,并考虑与这些星积有关的星指数。 Jacobi的theta函数作为恒星指数的无穷和给出。作为应用,通过星形指数的性质可以获得几种具体的身份。

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