Results 241 to 250 of about 30,850 (254)

Analytic Representations and Fourier Transforms of Analytic Functionals in $Z'$ Carried by the Real Space

SIAM Journal on Mathematical Analysis, 1978
In the space $Z'$, the Fourier transform of the space $\mathcal{D}'$ of Schwartz-distributions, the notion of carrier is introduced. A characterization is given of all distributions $\mathcal{D}'$, the Fourier transform of which is carried by $\mathbb{R}^n $.
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COMPOSITION OPERATORS WITH CLOSED IMAGE ON SPACES OF REAL ANALYTIC FUNCTIONS

Bulletin of the London Mathematical Society, 2006
We characterize composition operators on spaces of real analytic functions which at the same time have closed image and are open onto their images. Under some mild assumptions, we also characterize composition operators with closed range and composition operators open onto their images.
P. DOMANSKI, M. LANGENBRUCH
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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
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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
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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
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Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals

Results in Mathematics, 2021
Luis Bernal-González, Maria Del Carmen Calderón-Moreno, Bernal-González Luis   +2 more
exaly  

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.
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Real analytic families of harmonic functions in a planar domain with a small hole

Journal of Mathematical Analysis and Applications, 2015
Matteo Dalla Riva, Paolo Musolino
exaly  

Euler type partial differential operators on real analytic functions

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

Continuous linear decomposition of analytic functions

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011
Michael Langenbruch
exaly