Spectral types of linear q-difference equations and q-analog of middle convolution
Spectral types of linear q-difference equations and q-analog of middle convolution
复制标题
线性q-差分方程的谱类型和中间卷积的q-模拟
DOI：
10.1093/imrn/rnw089
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
H. Sakai and M. Yamaguchi
中科院分区：
文献类型：
--
作者：
K. Moriyasu;K. Sakai and N. Sumi;鷲見直哉，山本謙一郎，P.Varandas;Michihiro Hirayama and Naoya Sumi;鷲見直哉，山本謙一郎，P.Varandas;鷲見直哉;鷲見直哉;H. Sakai and M. Yamaguchi
本文给出了有理系数线性差分方程的中间卷积的a-模拟。在微分情况下，中卷积由Katz定义，他详细研究了它的性质。本文定义了中卷积的a-模拟。此外，我们表明，它也可以表示为一个模拟的欧拉变换。中间卷积将Fuchsian方程变换为Fuchsian方程，并保持差分方程的刚性指标。
We present a-analog of the middle convolution for linear-difference equations with rational coefficients. In the differential case, the middle convolution was defined by Katz, who examined its properties in detail. In this paper, we define a-analog of the middle convolution. Moreover, we show that it can also be expressed as a-analog of the Euler transformation. The-middle convolution transforms a Fuchsian equation to a Fuchsian equation and preserves the rigidity index of-difference equations.