q-变形KZB heat equation：完备性、模性质和SL（3，Z）
q-deformed KZB heat equation: completeness, modular properties and SL(3,Z)
摘要：
本文研究了环面上Knizhnik-Zamolodchikov-Bernard方程的q-差分（“量子”）模拟的一维超几何积分解的性质。我们表明，他们也服从差分KZB热方程的模块参数，给出公式的模块转换，并证明了一个完整的结果，通过显示相关的傅里叶变换是可逆的。这些结果是基于SL（3，Z）变换的性质与椭圆Γ函数的性质相似。
英文摘要：
We study the properties of one-dimensional hypergeometric integral solutions of the q-difference ("quantum") analogue of the Knizhnik-Zamolodchikov-Bernard equations on tori. We show that they also obey a difference KZB heat equation in the modular parameter, give formulae for modular transformations, and prove a completeness result, by showing that the associated Fourier transform is invertible. These results are based on SL(3,Z) transformation properties parallel to those of elliptic gamma functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
