A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions [PDF]
Complex Analysis and Operator Theory, 2016 In this paper the spectrum of composition operators on the space of real analytic functions is investigated. In some cases it is completely determined while in some other cases it is only estimated.
JOSÉ Bonet +2 more
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Inheritance of surjectivity for partial differential operators on spaces of real analytic functions
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Langenbruch
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Hypercyclic composition operators on spaces of real analytic functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2012 AbstractWe study the dynamical behaviour of composition operatorsCϕdefined on spaces(Ω) of real analytic functions on an open subset Ω of ℝd. We characterize when such operators are topologically transitive, i.e. when for every pair of non-empty open sets there is an orbit intersecting both of them.
Bonet Solves, José Antonio +1 more
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Analytic Approximations of Uniformly Continuous Functions in Real Banach Spaces
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Cepedello Boiso, Petr Hajek
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Hadamard multipliers on spaces of real analytic functions
Advances in Mathematics, 2013 The authors' aim is to find criteria for global solvability of an Euler differential equation \[ \sum_{n=0}^{+\infty}a_n\theta^nf(t)=g(t),\quad t\in\mathbb{R},\,\,(a_n)_n\subset\mathbb{C}. \] Here, \(f,g\) are analytic functions on some open interval \(I\subset\mathbb{R}\). The main topic behind this theme is the notion of a multiplier. The fundamental
Paweł Domanski, Michael Langenbruch
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Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces
Journal of Functional Analysis, 2012 Updated version with a sharper result in the Hilbertian case. One thin tube is enough.
Daniel Azagra, R Fry
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Fréchet quotients of spaces of real-analytic functions [PDF]
Studia Mathematica, 2003 The purpose of this article is to characterize the Fréchet spaces \(F\) which appear as a quotient of the space \(A(\Omega)\) of the complex valued real analytic functions defined on an open subset \(\Omega\) of \(\mathbb R^d\). The paper continues investigations of several authors about the structural theory of the space \(A(\Omega)\).
Domański, P., Frerick, L., Vogt, D.
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The space of real-analytic functions has no basis [PDF]
Studia Mathematica, 2000 Let \(\Omega\) be an open connected subset of the Euclidean space \(\mathbb{R}^d\). Let \(A(\Omega)\) be the space of real-analytic functions on \(\Omega\) with its usual topology. A quite interesting result is proved in this paper asserting that all metrizable complemented subspaces of \(A(\Omega)\) are finite-dimensional.
Domański, Paweł, Vogt, Dietmar
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One-Sided Invertibility of Toeplitz Operators on the Space of Real Analytic Functions on the Real Line [PDF]
Integral Equations and Operator Theory, 2020 AbstractWe show that a Toeplitz operator on the space of real analytic functions on the real line is left invertible if and only if it is an injective Fredholm operator, it is right invertible if and only if it is a surjective Fredholm operator. The characterizations are given in terms of the winding number of the symbol of the operator.
M. Jasiczak, A. Golińska
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Deformations of real analytic functions and the natural stratification of the space of real analytic functions [PDF]
Nagoya Mathematical Journal, 1976 Let A be a real analytic set, M be a compact real analytic manifold and f : A × M → R be a real analytic function. Then we have a family of real analytic functions fa, a ∈ A, on M defined by fa(X) = f(a, x).
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