Operator Theory Seminar (309 VAN) - Sergii Bezuglyi, PhD; University of Iowa

Mar 21, 2023

01:30 PM - 02:30 PM

Van Allen Hall, 309

30 North Dubuque Street, Iowa City, IA 52242

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Sergii Bezuglyi, Ph.D.; University of Iowa

Endomorphisms, wavelet filters, and Cuntz algebra representations

Sergii Bezuglyi, PhD
University of Iowa

In my talk, I discuss general endomorphisms of a probability standard measure, their properties, and linear operators related to endomorphisms. The cases of measure preserving and nonsingular endomorphisms are considered. The set of generalized wavelet filters is explicitly described. Generators of Cuntz algebra representations are constructed in terms of wavelet filters and composition operators for any endomorphism.

The talk is based on a joint paper with Palle Jorgensen.

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