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A Multivariate Blaschke-Based Mode Decomposition Approach for Gear Fault Diagnosis [PDF]
SensorsExisting multivariate signal decomposition methods insufficiently account for the mechanical characteristics of gear systems, limiting their capability in fault feature extraction.
Xianbin Zheng +3 more
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Stability of Blaschke products under forward iteration
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Forward iteration of holomorphic self‐maps generalizes the iteration of a single function in a natural way. This framework arises in complex dynamics, for instance, in the study of wandering domains and in seeking suitable extensions of the Denjoy–Wolff theorem. Here, we consider forward iteration of Blaschke products.
Daniela Kraus +2 more
wiley +2 more sources
Preimages under linear combinations of iterates of finite Blaschke products [PDF]
Analysis and Mathematical Physics, 2023 Consider a finite Blaschke product f with $$f(0) = 0$$ f ( 0 ) = 0 which is not a rotation and denote by $$f^n$$ f n its n -th iterate. Given a sequence $$\{a_n\}$$ { a n } of complex numbers, consider the series $$F(z) = \sum _n a_n f^n(z).$$ F ( z ) = ∑
S. Kakaroumpas, O. Soler i Gibert
semanticscholar +1 more source
On Bloch seminorm of finite Blaschke products in the unit disk [PDF]
Journal of Mathematical Analysis and Applications, 2022 We prove that, for any finite Blaschke product w = B ( z ) in the unit disk, the corresponding Riemann surface over the w –plane contains a one-sheeted disk of the radius 0 . 5. Moreover, it contains a unit one-sheeted disk with a radial slit.
A. Baranov, I. Kayumov, S. Nasyrov
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Analogues of finite Blaschke products as inner functions [PDF]
Bulletin of the London Mathematical Society, 2021 We give a generalization of the notion of finite Blaschke products from the perspective of generalized inner functions in various reproducing kernel Hilbert spaces.
C. Felder, Trieu Le
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Ellipses and compositions of finite Blaschke products
Journal of Mathematical Analysis and Applications, 2017 Nathan A Wagner
exaly +2 more sources
Blaschke Products, Level Sets, and Crouzeix’s Conjecture [PDF]
Journal d'Analyse Mathematique, 2021 We study several problems motivated by Crouzeix’s conjecture, which we consider in the special setting of model spaces and compressions of the shift with finite Blaschke products as symbols. We pose a version of the conjecture in this setting, called the
K. Bickel, P. Gorkin
semanticscholar +1 more source
Exploring parameter spaces in complex dynamics
Selecciones Matemáticas, 2023 We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the ...
Pedro Iván Suárez Navarro
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Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation
Journal of Function Spaces, 2021 Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class.
Firdaws Rahmani, Yufeng Lu, Ran Li
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Analytic in the unit polydisc functions of bounded L-index in direction
Математичні Студії, 2023 The concept of bounded $L$-index in a direction $\mathbf{b}=(b_1,\ldots,b_n)\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ is generalized for a class of analytic functions in the unit polydisc, where $L$ is some continuous function such that for every $z=(z_1 ...
A. Bandura, T. Salo
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