Results 131 to 140 of about 5,762,325 (182)

On a boundary property of Blaschke products

Analysis Mathematica, 2021
A Blaschke product has no radial limits on a subset E of the unit circle T but has unrestricted limit at each point of T \ E if and only if E is a closed set of measure zero.
A. Danielyan, Spyros Pasias
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Random Blaschke Products

Transactions of the American Mathematical Society, 1990
Let { θ
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Zero Tracts of Blaschke Products

Canadian Journal of Mathematics, 1966
Let ﹛an﹜ be a sequence of complex numbers such thatandThen {an} is called a Blaschke sequence. For each Blaschke sequence {an} a Blaschke product is defined asThus a Blaschke product B(z, ﹛an﹜) is a function regular in the open unit disk D = {z: |z| < 1﹜ and having a zero at each point of the sequence ﹛an﹜.
Linden, C. N., Somadasa, H.
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A Non-Parametric Identification Scheme of SISO-LTI Systems Using Blaschke-Products*

2024 32nd Mediterranean Conference on Control and Automation (MED)
In this manuscript, a novel algorithm is presented for the identification of single input single output linear time invariant (SISO-LTI) systems. The proposed method is able to find poles of the transfer function describing the system without any ...
Gergő Ungvári, Alexandros Soumelidis, Tamás Dózsa   +2 more
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Amplitude spaces of mono-components from Blaschke products and an intrinsic multiresolution analysis

Int. J. Wavelets Multiresolution Inf. Process., 2020
A mono-component is a real-variable and complex-valued analytic signal with nonnegative frequency components. The amplitude of an analytic signal is determined by its phase in a canonical amplitude-phase modulation.
Qiuhui Chen, Luoqing Li, Weibin Wu
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On Interpolating Blaschke Products and Blaschke-Oscillatory Equations

Constructive Approximation, 2010
This research is partially a continuation of the author's paper [``Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class'', Kodai Math. J. 30, No. 2, 263--279 (2007; Zbl 1134.30025)]. If \(\{z_n\}\) is an infinite sequence of nonzero points in the unit disc \(D = \{z: |z|
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Finite Products of Interpolating Blaschke Products

Journal of the London Mathematical Society, 1994
The main result of this paper is a characterization of the Blaschke products \(B\) which are such that \(\tau_ \alpha (B)\) is a finite product of interpolating Blaschke products for all \(\alpha \in D\), the unit disc. That is Theorem. Let \(B\) be a finite product of interpolating Blaschke products. Let \(\{z_ n\}\) be the sequence of zeros of \(B\),
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A Sharp Estimate of Area for Sublevel Set of Blaschke Products

Journal of Geometric Analysis
Let D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {D}$$\end ...
David Kalaj
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Minimal Interpolation by Blaschke Products

Journal of the London Mathematical Society, 1985
A sequence \(z_ n\) in the unit disc D is called an interpolating sequence if for every bounded sequence \(w_ n\) the problem (*) \(f(z_ n)=w_ n\), for all n is solvable with a function \(f\in H^{\infty}(D)\). Theorem 1: Assume (1) \(z_ n\) is an interpolating sequence, (2) any minimal solution (i.e. with least uniform norm) of problem (*) has norm 1, (
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ON BOUNDARY BEHAVIOUR OF BLASCHKE PRODUCTS

Analysis, 1986
If \(B(z,z_ n)\) is a Blaschke product in the unit disk whose zeros \(z_ n\) have limit point \(e^{i\theta}\), then B and its subproducts have an angular limit of modulus 1 at \(e^{i\theta}\) iff the Frostman condition \(\sum (1-| z_ n|)/| e^{i\theta}-z|
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