Szegő-type limit theorems for 'multiplicative Toeplitz' operators and non-Følner approximations

Authors :: Nikolai Nikolski
Alexander Pushnitski
Source :: St. Petersburg Mathematical Journal. 32:1033-1050
Publication Year :: 2021
Publisher :: American Mathematical Society (AMS), 2021.
Abstract: An analog of the First Szegő Limit Theorem for multiplicative Toeplitz operators is discussed, with the emphasis on the role of the multliplicative Følner condition in this topic.

Subjects :: Pure mathematics
Algebra and Number Theory
Applied Mathematics
Multiplicative function
Følner sequence
Limit (mathematics)
Type (model theory)
Analysis
Toeplitz matrix
Mathematics

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