Results 1 to 10 of about 14,860 (196)
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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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 ...
Donald E. Marshall, Arne Stray
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Tongues in degree 4 Blaschke products [PDF]
, 2016 The goal of this paper is to investigate the family of Blasche products $B_a(z)=z^3\frac{z-a}{1-\bar{a}z}$, which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane.
Jordi Canela +2 more
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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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Color Visualization of Blaschke Product Mappings [PDF]
Complex Variables and Elliptic Equations, 2008 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.
Cristina Ballantine, Dorin Ghişa
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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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On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk.
Shamoyan, R., Mihi´c, O.
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On partial isometries with circular numerical range
Concrete Operators, 2021 In their LAMA 2016 paper Gau, Wang and Wu conjectured that a partial isometry A acting on ℂn cannot have a circular numerical range with a non-zero center, and proved this conjecture for n ≤ 4. We prove it for operators with rank A = n − 1 and any n.
Wegert Elias, Spitkovsky Ilya
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