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Finite sections of truncated Toeplitz operators
Concrete Operators, 2014 We describe the C*-algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space K2u where u is an infinite Blaschke product.
Roch Steffen
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On extended eigenvalues and extended eigenvectors of truncated shift
Concrete Operators, 2013 We give a complete description of the set of extended eigenvectors of truncated shifts defined on the model spaces K_u := H^2\ominus uH^2, in the case of u is a Blaschke ...
Alkanjo Hasan
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On boundedness of integral means of Blaschke product logarithms
Mathematical Modelling and Analysis, 2003 Using the Fourier series method for the analytic functions, we obtain a result characterizing the behaviour of the integral means of Blaschke product logarithms.
YA. V. Vasylkiv +2 more
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Interpolating Blaschke products [PDF]
Pacific Journal of Mathematics, 1996 The problem of characterizing the closed linear span of the interpolating Blaschke products arose in the thesis of P. Jones [1978] and in Bounded analytic functions (1984; Zbl 0542.30003) by \textit{J. Garnett}, p. 430. We prove that any bounded analytic function on the unit disk \(\mathbb{D}\) which extends to be continuous on \(\partial\mathbb{C ...
Marshall, Donald E., Stray, Arne
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Random Blaschke Products [PDF]
Transactions of the American Mathematical Society, 1990 Let { θ n ( ω ) } \{ {\theta _n}(\omega )\} be a sequence of independent random variables uniformly distributed on [ 0 , 2 π ] [0,2\pi ] , and let z
W. G. Cochran
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Colour visualization of Blaschke product mappings [PDF]
Complex Variables and Elliptic Equations, 2010 A visualization of Blaschke product mappings can be obtained by treating them as canonical projections of covering Riemann surfaces and finding fundamental domains and covering transformations corresponding to these surfaces. A working tool is the technique of simultaneous continuation we introduced in previous papers.
Ballantine, Cristina, Ghisa, Dorin
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H∞ interpolation constrained by Beurling–Sobolev norms
Moroccan Journal of Pure and Applied Analysis, 2023 We consider a Nevanlinna–Pick interpolation problem on finite sequences of the unit disc, constrained by Beurling–Sobolev norms. We find sharp asymptotics of the corresponding interpolation quantities, thereby improving the known estimates. On our way we
Baranov Anton, Zarouf Rachid
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Characterizations of rectangular (para)-unitary rational functions [PDF]
Opuscula Mathematica, 2016 We here present three characterizations of not necessarily causal, rational functions which are (co)-isometric on the unit circle: (i) through the realization matrix of Schur stable systems, (ii) the Blaschke-Potapov product, which is then employed to ...
Daniel Alpay +2 more
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Cyclicity in de Branges–Rovnyak spaces
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we study the cyclicity problem with respect to the forward shift operator Sb acting on the de Branges–Rovnyak space ℋ (b) associated to a function b in the closed unit ball of H∞ and satisfying log(1− |b| ∈ L1(𝕋).
Fricain Emmanuel, Grivaux Sophie
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Endomorphisms of the Toeplitz algebra
Учёные записки Казанского университета: Серия Физико-математические науки, 2023 This article describes all injective endomorphisms of the classical Toeplitz algebra. Their connection with endomorphisms of the algebra of continuous functions on the unit circle and with coverings over the unit circle was considered.
S. A. Grigoryan, A. Yu. Kuznetsova
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