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Finite Blaschke Products and Decomposition [PDF]

open access: yesJournal of Mathematics and Applications, 2019
Let $B(z)$ be a finite Blaschke product of degree $n$. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition $% B\circ M=B$ where $M$ is a Möbius transformation from the unit disk onto itself.
Uçar, Sümeyra, Özgür, Nihal
openaire   +4 more sources

Distortion and Critical Values of the Finite Blaschke Product [PDF]

open access: yesConstructive Approximation, 2020
We establish a sharp upper bound for the absolute value of the derivative of the finite Blaschke product, provided that the critical values of this product lie in a given disk.
Dubinin V N
exaly   +4 more sources

Finite sections of truncated Toeplitz operators

open access: yesConcrete Operators, 2014
We describe the C*-algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space K2u where u is an infinite Blaschke product.
Roch Steffen
doaj   +2 more sources

Ellipses and compositions of finite Blaschke products

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nathan A Wagner
exaly   +2 more sources

Endomorphisms of the Toeplitz algebra

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2023
This article describes all injective endomorphisms of the classical Toeplitz algebra. Their connection with endomorphisms of the algebra of continuous functions on the unit circle and with coverings over the unit circle was considered.
S. A. Grigoryan, A. Yu. Kuznetsova
doaj   +1 more source

Finite Blaschke products and the golden ratio

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
15 pages, 7 ...
Özgür, Nihal, Uçar, Sümeyra
openaire   +4 more sources

Cyclicity in de Branges–Rovnyak spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
In this paper, we study the cyclicity problem with respect to the forward shift operator Sb acting on the de Branges–Rovnyak space ℋ (b) associated to a function b in the closed unit ball of H∞ and satisfying log(1− |b| ∈ L1(𝕋).
Fricain Emmanuel, Grivaux Sophie
doaj   +1 more source

SYSTEM COMPLETENESS OF RESONANCE STATES FOR GRAPHS WITH DIFFERENT GEOMETRY [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2019
Resonant states (quasi-intrinsic functions) play an important role in the scattering problem and in the description of transportprocesses. We consider the system completeness of resonance states on a finite subgraph for quantum graphs with both finite ...
I. V. Blinova   +2 more
doaj   +1 more source

Analogues of finite Blaschke products as inner functions

open access: yesBulletin of the London Mathematical Society, 2022
Final ...
Felder, Christopher, Le, Trieu
openaire   +3 more sources

On a characterization of finite Blaschke products [PDF]

open access: yesComplex Variables and Elliptic Equations, 2012
We study the convergence of a sequence of finite Blaschke products of a fix order toward a rotation. This would enable us to get a better picture of a characterization theorem for finite Blaschke products.
Fricain, Emmanuel, Mashreghi, Javad
openaire   +2 more sources

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