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
exaly +9 more sources
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.
Paweł Domanski, Dietmar Vogt
exaly +3 more sources
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
exaly +2 more sources
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
exaly +3 more sources
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
exaly +3 more sources
Toeplitz operators on the space of real analytic functions: The Fredholm property
Banach Journal of Mathematical Analysis, 2018 We completely characterize those continuous operators on the space of real analytic functions on the real line for which the associated matrix is Toeplitz (that is, we describe Toeplitz operators on this space). We also prove a necessary and sufficient condition for such operators to be Fredholm operators.
Domański, Pawel, Jasiczak, Michal
exaly +3 more sources
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
exaly +3 more sources
Analytic Functions, Cauchy Formula, and Stationary Phase on a Real Abstract Wiener Space
Journal of Functional Analysis, 1997 A new complexification of a real abstract Wiener space will be introduced, and some analogs of the algebra of analytic functions on finite-dimensional Euclidean space will be considered; analytic functions on the original space, their holomorphic prolongation to the complexified space, and holomorphic functions and a Cauchy formula on the complexified ...
Paul Malliavin, Setsuo Taniguchi
exaly +3 more sources
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
doaj +1 more source
On exact solvability of N=4 super Yang-Mills
Nuclear Physics B, 2022 We consider the ambitwistor description of N=4 supersymmetric extension of U(N) Yang-Mills theory on Minkowski space R3,1. It is shown that solutions of super-Yang-Mills equations are encoded in real analytic U(N)-valued functions on a domain in ...
Alexander D. Popov
doaj +1 more source