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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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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.
Petr Hajek, Manuel Cepedello Boiso
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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.
D Azagra, R Fry
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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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Persistence and the Sheaf-Function Correspondence
Forum of Mathematics, Sigma, 2023 The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold M with the Grothendieck group of constructible sheaves on M.
Nicolas Berkouk
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One result on boundedness of the Hilbert transform in Marcinkiewics spaces
Вестник КазНУ. Серия математика, механика, информатика, 2022 In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev +1 more
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Approximation of the Hilbert transform in the Lebesgue spaces
Journal of Numerical Analysis and Approximation Theory, 2023 The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
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Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity
Mathematics, 2020 Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity.
Stevan Pilipović +2 more
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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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