Finite Blaschke Products: The Basics

Stephan Ramon Garcia, Javad Mashreghi and William T. Ross
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Stephan Ramon Garcia: Pomona College, Department of Mathematics
Javad Mashreghi: Laval University, Department of Mathematics and Statistics
William T. Ross: University of Richmond, Department of Mathematics and Computer Science

Chapter Chapter 3 in Finite Blaschke Products and Their Connections, 2018, pp 39-58 from Springer

Abstract: Abstract For a finite sequence z 1, z 2, …, z n in 𝔻 $$\mathbb {D}$$ and γ ∈ 𝕋 $$\gamma \in \mathbb {T}$$ , the function B ( z ) = γ ∏ k = 1 n z − z k 1 − z k ¯ z $$\displaystyle B(z) = \gamma \prod _{k=1}^{n} \frac {z - z_k}{1-\overline {z_k} z} $$ is a finite Blaschke product.

Keywords: Finite Blaschke Product; Unimodular Constant; Constant Valence; Nonconstant Common Factor; Unimodular Element (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-78247-8_3

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