Results 151 to 160 of about 267 (174)

Centralizers of finite Blaschke products

Boletim da Sociedade Brasileira de Matem�tica, 2000
The author studies the set \(Z(F)\) of rational maps of the Riemann sphere which commute (under composition of maps) with a given finite Blaschke product of degree \(n\), \(F(z):= a_0 \prod_{i=1}^n \frac{z-\bar a_i} {1-a_i z}\) (where \(|a_0|=1\) and \(|a_i| 3\); or (ii) \(n=3\) and \(a_0 \neq 1\); or (iii) \(n=2\) and \(a_0 \neq 1, -1\) and there ...
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An equloscillation characterization of finite blaschke products

Complex Variables, Theory and Application: An International Journal, 2000
It is shown that rational functions continuous on the unit circle and of maximal equios-cillation order are either nonconstant finite Blaschke products or nonconstant inverted finite Blaschke products.
Christer Glader, Göran Högnäs
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A Characterization of Finite Blaschke Products with Degree n

Chinese Annals of Mathematics, Series B
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, Cailing, Hou, Bingzhe, Cao, Yang
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Finite Blaschke Products and Operator Theory

2018
In this chapter we explore some of the connections that finite Blaschke products make with operators on Hilbert spaces. In particular, we focus on norms of contractions and the mapping properties of the numerical range.
Stephan Ramon Garcia, Javad Mashreghi, William T. Ross   +2 more
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The Derivative of Finite Blaschke Products

2012
Let \(w \in \mathbb{D}\). Consider the Blaschke factor $$b(z) = \frac{w - z} {1 -\bar{ w}\,z}.$$
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Finite Blaschke Products and Group Theory

2018
In this chapter we explore two connections between finite Blaschke products and finite group theory. For each finite Blaschke product B, we discuss the group of continuous maps \(u:\mathbb {T}\to \mathbb {T}\) for which B ∘ u = B on \(\mathbb {T}\). We also investigate conditions under which a finite Blaschke product B can be written as the composition
Stephan Ramon Garcia, Javad Mashreghi, William T. Ross   +2 more
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Ellipses and Finite Blaschke Products

The American Mathematical Monthly, 2002
Ulrich Daepp, Pamela Gorkin, Raymond Mortini   +2 more
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Hyperbolic Distortion, Boundary Behaviour and Finite Blaschke Products

Computational Methods and Function Theory, 2014
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Multiplication by a finite Blaschke product on weighted Bergman spaces: Commutant and reducing subspaces

Journal of Mathematical Analysis and Applications, 2022
Eva A Gallardo-Gutiérrez, Jonathan R Partington   +1 more
exaly  

On Bloch seminorm of finite Blaschke products in the unit disk

Journal of Mathematical Analysis and Applications, 2022
Anton Baranov, I R Kayumov
exaly