Results 31 to 40 of about 710,122 (376)
Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball [PDF]
Transactions of the American Mathematical Society, 2017 We study algebras of bounded, noncommutative (nc) analytic functions on nc subvarieties of the nc unit ball. Given a nc variety $\mathfrak{V}$ in the nc unit ball $\mathfrak{B}_d$, we identify the algebra of bounded analytic functions on $\mathfrak{V}$ --
Guy Salomon, O. Shalit, E. Shamovich
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Non-Weakly Supercyclic Weighted Composition Operators
Abstract and Applied Analysis, 2010 We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted ...
Z. Kamali +2 more
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Multivalent functions and QK spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invariant space of functions analytic in the unit disk in the plane for a nondecreasing function K:[0,∞)→[0,∞), and we show by an example that our condition is
Hasi Wulan
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Joint discrete approximation of analytic functions by Hurwitz zeta-functions
Mathematical Modelling and Analysis, 2022 Let H(D) be the space of analytic functions on the strip . In this paper, it is proved that there exists a closed non-empty set such that every collection of the functions is approximated by discrete shifts , of Hurwitz zeta-functions with arbitrary ...
Aidas Balčiūnas +4 more
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A Functional Analytic Description of Normal Spaces [PDF]
Canadian Journal of Mathematics, 1972 Throughout the paper, X will denote a completely regular (Hausdorff) topological space and C(X) the R-algebra of all real-valued continuous functions on X. When this algebra carries the continuous convergence structure [1], we write CC(X). We note that CC(X)is a complete [5] convergence R-algebra [1].Our description of normality reads as follows.
Binz, Ernst, Feldman, Wilhelm
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On bidual bases in the space of symmetric analytic functions on $ell_{1}$
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider a special Hilbert space of symmetric analytic functions on$ell_1$ and construct a pair of bidual bases of polynomials.}{Hilbert space, symmetricanalytic functions, bidual ...
O. M. Holubchak, A. V. Zagorodnyuk
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Composition Operators on Some Banach Spaces of Harmonic Mappings
Journal of Function Spaces, 2020 We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space ...
Munirah Aljuaid, Flavia Colonna
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Zero Sets for Spaces of Analytic Functions [PDF]
Annales de l'Institut Fourier, 2018 We show that under mild conditions, a Gaussian analytic function F that a.s. does not belong to a given weighted Bergman space or Bargmann–Fock space has the property that a.s. no non-zero function in that space vanishes where F does. This establishes a conjecture of Shapiro [21] on Bergman spaces and allows us to resolve a question of Zhu [24] on ...
Lyons, Russell, Zhai, Alex
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Continuity of LF-algebra representations associated to representations of Lie groups
, 2012 Let G be a Lie group and E be a locally convex topological G-module. If E is sequentially complete, then E and its space of smooth vectors are modules for the algebra D(G) of compactly supported smooth functions on G. However, the module multiplication
Glockner, Helge
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Joint discrete approximation of analytic functions by shifts of Lerch zeta-functions
Mathematical Modelling and AnalysisThe Lerch zeta-function depends on two real parameters λ and and, for σ > 1, is defined by the Dirichlet series , and by analytic continuation elsewhere. In the paper, we consider the joint approximation of collections of analytic functions by discrete
Antanas Laurinčikas +2 more
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