Results 11 to 20 of about 275 (154)
Finite Blaschke products of contractions
Linear Algebra and its Applications, 2003 Let \(A\) be a contraction operator in the Hilbert space \(H\). The famous von Neumann inequality claims that \(\|\varphi(A)\|\leq \|\varphi\|_\infty\) for any function \(\varphi\) analytic in the disk \(|z|1\). The case when \(\varphi\) is a finite Blaschke product of the order \(n\) is under investigation in the present paper. The authors prove that \
Gau, Hwa-Long, Wu, Pei Yuan
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Finite Blaschke Products as Compositions of Other Finite Blaschke Products
, 2012 22 ...
Carl C. Cowen
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Finite Blaschke products versus polynomials
, 2015 The objective of the thesis is to compare polynomials and finite Blaschke products, and demonstrate that they share many similar properties and hence we can establish a dictionary between these two kinds of finite maps for the first time. The results for polynomials were reviewed first.
Tsang, Chiu-yin, 曾超賢
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Finite Blaschke products and the construction of rational Γ-inner functions [PDF]
Journal of Mathematical Analysis and Applications, 2017 35 pages. This is the revised version after referees'reports, Journal of Mathematical Analysis and Applications ...
Agler, Jim +2 more
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Dynamics of finite Blaschke products [PDF]
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Núria Fagella ...
Núñez Corbacho, Joan
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Decomposable Blaschke products of degree 2ⁿ [PDF]
, 2023 We study the decomposability of a finite Blaschke product B of degree 2^n into n degree-2 Blaschke products, examining the connections between Blaschke products, the elliptical range theorem, Poncelet theorem, and the monodromy group. We show that if the
Gorkin, P. +11 more
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Interpolating Blaschke products and angular derivatives [PDF]
, 2012 We show that to each inner function, there corresponds at least one interpolating Blaschke product whose angular derivatives have precisely the same behavior as the given inner function.
Gallardo Gutiérrez, Eva Antonia
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Positive Polynomials and Boundary Interpolation with Finite Blaschke Products [PDF]
Computational Methods and Function Theory, 2021 AbstractThe famous Jones–Ruscheweyh theorem states that n distinct points on the unit circle can be mapped to n arbitrary points on the unit circle by a Blaschke product of degree at most $$n-1$$ n - 1 .
Kalmykov, Sergei, Nagy, Béla
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Distortion and Critical Values of the Finite Blaschke Product [PDF]
Constructive Approximation, 2020 We establish a sharp upper bound for the absolute value of the derivative of the finite Blaschke product, provided that the critical values of this product lie in a given disk.
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Boundary Interpolation by Finite Blaschke Products [PDF]
, 2017 Given $n$ distinct points $t_1,\ldots,t_n$ on the unit circle $\T$ and equally many target values $\f_1,\ldots,\f_n\in\T$, we describe all Blaschke products $f$ of degree at most $n-1$ such that $f(t_i)=\f_i$ for $i=1,\ldots,n$. We also describe the cases where degree $n-1$ is the minimal possible.
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