The Riemann Zeta Function and Kernels of Toeplitz Operators

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.

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2021-04, Vol.42 (4), p.791-799
Main Author: Kapustin, Vladimir
Format: Article
Language:English
Subjects:
Algebra
Analysis
Functional equations
Geometry
Hypergeometric functions
Kernels
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Probability Theory and Stochastic Processes
Subspaces
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Description
Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221040119