Results 31 to 40 of about 47,643 (302)
A general discrete limit theorem in the space of analytic functions for the Matsumoto zeta-function
, 2021 A modified discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the Matsumoto zeta-function is ...
Laurinčikas, Antanas +1 more
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Integration in Hermite spaces of analytic functions
Journal of Complexity, 2015 We study integration in a class of Hilbert spaces of analytic functions defined on the $\mathbb{R}^s$. The functions are characterized by the property that their Hermite coefficients decay exponentially fast. We use Gauss-Hermite integration rules and show that the error of our algorithms decays exponentially fast.
Christian Irrgeher +3 more
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Approximation of analytic functions in Korobov spaces
Journal of Complexity, 2014 We study multivariate $L_2$-approximation for a weighted Korobov space of analytic periodic functions for which the Fourier coefficients decay exponentially fast. The weights are defined, in particular, in terms of two sequences $\boldsymbol{a} =\{a_j\}$ and $\boldsymbol{b} =\{b_j\}$ of numbers no less than one. Let $e^{L_2-\mathrm{app},Λ}(n,s)$ be the
Josef Dick +3 more
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The spaces of analytic functions on open subsets of RN and CN [PDF]
, 2015 This paper is devoted to study the space A(U) of all analytic functions on an open subset U of RN or CN. It is proved that if U satisfies a weak condition (that will be called 0-property), then every f∈A(U) depends only on a finite number of variables ...
Ponte Miramontes, María Del Socorro +5 more
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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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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
Lyons, Russell, Zhai, Alex
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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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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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Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
, 2011 The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A. +7 more
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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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