Results 11 to 20 of about 5,762,325 (182)
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
openaire +2 more sources
Finite Blaschke products over quaternions: unitary realizations and zero structure [PDF]
Analysis and Mathematical Physics, 2020 We consider power series over the skew field $${\mathbb {H}}$$ H of real quaternions which are analogous to finite Blaschke products in the classical complex setting.
V. Bolotnikov
semanticscholar +2 more sources
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.
doaj +1 more source
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
doaj +1 more source
Holomorphic functions, relativistic sum, Blaschke products and superoscillations
Analysis and Mathematical Physics, 2021 Superoscillating functions are band-limited functions that can oscillate faster than their fastest Fourier component. The notion of superoscillation is a particular case of that one of supershift.
D. Alpay +3 more
semanticscholar +1 more source
Correspondences between convex geometry and complex geometry [PDF]
Épijournal de Géométrie Algébrique, 2017 We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
doaj +1 more source
Integral mean of Green’s potentials and their conjugate
Karpatsʹkì Matematičnì Publìkacìï, 2013 The best possible estimates for Lebesgue integral means $m_q(r,F); (1le q
Vasyl'kiv, Ya. V., Kravec, M. Ya.
doaj +3 more sources
Global graph of metric entropy on expanding Blaschke products
Discrete and Continuous Dynamical Systems. Series A, 2021 We study the global picture of the metric entropy on the space of expanding Blaschke products. We first construct a smooth path in the space tending to a parabolic Blaschke product.
Yunping Jiang
semanticscholar +1 more source
Finite Blaschke Products and Decomposition [PDF]
Journal of Mathematics and Applications, 2019 Let $B(z)$ be a finite Blaschke product of degree $n$. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition $% B\circ M=B$ where $M$ is a Möbius transformation from the unit disk onto itself.
Uçar, Sümeyra, Özgür, Nihal
openaire +3 more sources
Positive Polynomials and Boundary Interpolation with Finite Blaschke Products
Computational methods in Function Theory, 2021 The 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 . In this paper, we provide a new proof using real algebraic
S. Kalmykov, B. Nagy
semanticscholar +1 more source