Results 231 to 240 of about 8,160 (246)

Multiplier projections on spaces of real analytic functions in several variables

Complex Variables and Elliptic Equations, 2016
AbstractLet be open with . We characterize the sets having the following property: for every real analytic function f on with Taylor expansion at zero, the series is also the Taylor expansion at zero of some real analytic function on . This result gives a characterization of the idempotents in the algebra of Hadamard-type operators on the space of all ...
Paweł Domański, Michael Langenbruch
openaire   +1 more source

Linear topological properties of the space of analytic functions on the real line

2001
Abstract The paper gives a survey of the linear topological properties of the space of analytic functions on the real line. Besides the analysis of the classical properties, the emphasis is put on certain, very useful “splitting lemmas”. The proofs which are presented here are based on much more elementary tools than the known proofs for the same ...
P. Domański, D. Vogt
openaire   +1 more source

Right Inverses for P(D) in Spaces of Real Analytic Functions

2012
In this paper we study the question when a linear partial differential operator P(D) with constant coefficients admits a continuous linear right inverse in the space A(ℝ n ) of real analytic functions on ℝ n (or, more generally, in A(Ω) where Ω is a open subset of ℝ n ). To obtain a necessary condition, we investigate when P(D) admits solvability “with
openaire   +1 more source

Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

Axioms, 2021
Andriy Zagorodnyuk, Anna Hihliuk, Zagorodnyuk Andriy   +2 more
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Countably Generated Algebras of Analytic Functions on Banach Spaces

Axioms, 2023
Zoriana Novosad, Andriy Zagorodnyuk, Zagorodnyuk Andriy   +2 more
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Real analytic functions with isolated zeroes on domains of topological vector spaces

2005
Summary: We show that for every open subset \(U\) of every Fréchet space \(V\) without any continuous norm there is no real analytic function on \(U\) with an isolated zero. We prove the same result for a certain Banach space \(V\). We also prove an extension theorem for real analytic functions.
openaire   +2 more sources

Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces

Axioms, 2020
Andriy Zagorodnyuk, Anna Hihliuk, Zagorodnyuk Andriy   +2 more
exaly  

Multiplier projections on spaces of real analytic functions in several variables

Complex Variables and Elliptic Equations, 2017
Paweł Domanski, Michael Langenbruch
exaly  

Euler type partial differential operators on real analytic functions

Journal of Mathematical Analysis and Applications, 2016
Paweł Domanski, Michael Langenbruch
exaly  

Abel’s Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions

Integral Equations and Operator Theory, 2014
JOSÉ Bonet, Paweł Domanski, Bonet JOSÉ   +2 more
exaly