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The Riemann Zeta Function and Kernels of Toeplitz Operators
Lobachevskii Journal of Mathematics Pub Date : 2021-06-04 , DOI: 10.1134/s1995080221040119 Vladimir Kapustin
中文翻译:
黎曼 Zeta 函数和 Toeplitz 算子的核
更新日期:2021-06-04
Lobachevskii Journal of Mathematics Pub Date : 2021-06-04 , DOI: 10.1134/s1995080221040119 Vladimir Kapustin
Abstract
The functional equation for the Riemann zeta function allows us to construct a kernel of a Toeplitz operator containing a modified zeta function. Hypergeometric functions are used for a description of subspaces approximating the kernel. Expressions for the limit functions are found.
中文翻译:
黎曼 Zeta 函数和 Toeplitz 算子的核
摘要
黎曼 zeta 函数的函数方程允许我们构建包含修改 zeta 函数的 Toeplitz 算子的核。超几何函数用于描述逼近核的子空间。找到了极限函数的表达式。