Results 121 to 130 of about 275 (154)

Polynomials Versus Finite Blaschke Products

Fields Institute Communications, 2013
The aim of this chapter is to compare polynomials of one complex variable and finite Blaschke products and demonstrate that they share many similar properties. In fact, we collect many known results as well as some very recent results for finite Blaschke products here to establish a dictionary between polynomials and finite Blaschke products.
Tuen Wai Ng
exaly   +4 more sources

Decomposing finite Blaschke products

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daepp, Ulrich, Gorkin, Pamela, Shaffer, Andrew, Sokolowsky, Benjamin, Voss, Karl   +4 more
exaly   +5 more sources

The group of the invariants of a finite blaschke product [PDF]

Complex Variables and Elliptic Equations, 2000
If b is a finite Blaschke product, we prove that the set of continuous functions such that is a cyclic group. We also study the possibility of extending analytically such functions u in ũ with where ũ is well-defined. For that purpose we localize the zeros of the derivative of a Blaschke product (not necessarily finite).
G. Cassier, I. Chalendar
exaly   +4 more sources

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Critical Values of Finite Blaschke Products

Doklady Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubinin V N
exaly   +3 more sources

Finite Blaschke Products and Their Connections [PDF]

, 2018
This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields.
Stephan Ramon Garcia, Javad Mashreghi, William T Ross   +2 more
exaly   +4 more sources

Centralizers of finite Blaschke products

Sociedade Brasileira De Matematica Boletim, Nova Serie, 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 ...
CARLOS Arteaga
exaly   +3 more sources

An equloscillation characterization of finite blaschke products

Complex Variables and Elliptic Equations, 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
exaly   +2 more sources

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.
Bingzhe Hou
exaly   +3 more sources

Family of Finite Blaschke Products in $$C^*$$-Algebras

Mathematical Notes
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A Yu Kuznetsova, Kuznetsova A Yu
exaly   +3 more sources