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Star product formula of theta functions

Hiroshige Kajiura
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Abstract

As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which are closed with respect to the Moyal star product of a fixed noncommutative parameter. These theta functions can be regarded as bases of the space of holomorphic homomorphisms between holomorphic line bundles over noncommutative complex tori.

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Hiroshige Kajiura. 2005-10-14. Star product formula of theta functions. https://doi.org/10.1007/s11005-006-0051-0

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