On real analytic functions of unbounded type [PDF]
, 2013 In this paper we prove several results on the existence of analytic functions on an infinite dimensional real Banach space which are bounded on some given collection of open sets and unbounded on others. In addition, we also obtain results on the density
Ponte Miramontes, María Del Socorro +3 more
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Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]
, 2011 In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik, +15 more
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A characterization of composition operators on algebras of analytic functions [PDF]
, 2008 We give a characterization of composition operators between algebras of analytic functions on a Banach space. We show (under fairly general conditions) that they are precisely the multiplicative operators that are transposes of operators of between the ...
Carando, Daniel Germán
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Application of symmetric analytic functions to spectra of linear operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak +4 more
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Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions [PDF]
, 2011 summary:In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic ...
Hedayatian, Karim +2 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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On Discrete Analytic Functions: Products, Rational Functions, and Reproducing Kernels [PDF]
, 2013 We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family.
Alpay, Daniel +3 more
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Simultaneous Automorphisms in Spaces of Analytic Functions [PDF]
, 1963 Two spaces of analytic functions are considered, each comprised of functions analytic on the open disk NR(0) of radius R (0 < R < +∞ ) centred at the origin.
M. G. Arsove, A. Alexiewicz
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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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