Real Complex Functions

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 11 in Finite Blaschke Products and Their Connections, 2018, pp 245-259 from Springer

Abstract: Abstract In this chapter we connect finite Blaschke products to the class of rational functions f such that f ( ζ ) ∈ ℝ ^ , ζ ∈ 𝕋 , $$\displaystyle f(\zeta ) \in \widehat {\mathbb {R}}, \quad \zeta \in \mathbb {T}, $$ where we recall that ℝ ^ = ℝ ∪ { ∞ } $$\widehat {\mathbb {R}} = \mathbb {R} \cup \{\infty \}$$ is the extended real line, regarded as a subset of the Riemann sphere ℂ ^ = ℂ ∪ { ∞ } $$\widehat {\mathbb {C}} =\mathbb {C} \cup \{\infty \}$$ .

Keywords: Finite Blaschke Product; Real Rational Function; Constant Valence; Toeplitz Operators; Common Zeros (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-78247-8_11

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DOI: 10.1007/978-3-319-78247-8_11

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