Results 141 to 150 of about 275 (154)

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
openaire   +1 more source

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
openaire   +1 more source

Ellipses and Finite Blaschke Products

The American Mathematical Monthly, 2002
Ulrich Daepp, Pamela Gorkin, Raymond Mortini   +2 more
openaire   +2 more sources

On Bloch seminorm of finite Blaschke products in the unit disk

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

The exponent of convergence of a finite Blaschke product

1997
A finite Blachke product, \(B\) is a rational map of the projective line which carries the unit disk onto itself. It is therefore not surprising that the dictionary between iterated rational maps and Fuchsian groups should be especially complete in this case.
openaire   +2 more sources

Smale’s mean value conjecture for finite Blaschke products

Journal of Analysis, 2017
Tuen Wai Ng, Yongquan Zhang
exaly  

Finite Blaschke products over quaternions: unitary realizations and zero structure

Analysis and Mathematical Physics, 2020
Vladimir Bolotnikov, Bolotnikov Vladimir   +1 more
exaly  

Polynomials Versus Finite Blaschke Products

2016
In this talk, we shall compare polynomials of one complex variable and finite Blaschke products and demonstrate that they share many similar properties. In fact, we will see that one can establish a dictionary between polynomials and finite Blaschke products.
openaire   +1 more source

On a Theorem of Ritt for Commuting Finite Blaschke Products

Complex Variables and Elliptic Equations, 2003
CARLOS Arteaga
exaly