Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors
type: Item
instance of: scholarly article
title: Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors
author: Javier Jiménez-Garrido
author: Ignacio Miguel-Cantero
author: Javier Sanz
author: Gerhard Schindl
published in: Results in Mathematics
publication date: 2023-03-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/2205.07605
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 46E10
zbMATH DE Number: 7669099
zbMATH Keywords: Carleman-Roumieu ultraholomorphic classes
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: linear extension operators
MaRDI profile type: Publication
OpenAlex ID: W4324145318
cites work: Formal power series and linear systems of meromorphic ordinary differential equations
cites work: The theory of metric spaces applied to infinitely differentiable functions
cites work: On \(q\)- difference functional equations
cites work: Q4015687
cites work: An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
cites work: Solution to the Stieltjes moment problem in Gelfand–Shilov spaces
cites work: Q4818970
cites work: Pseudoanalytic extension of smooth functions. The uniform scale
cites work: The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
cites work: Strongly regular sequences and proximate orders
cites work: Indices of O-regular variation for weight functions and weight sequences
cites work: Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes
cites work: Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences
cites work: Q5673937
cites work: Extension of ultradifferentiable functions
cites work: Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform
cites work: Q5814065
cites work: Characterization of the separativity of ultradifferentiable classes
cites work: Whitney's extension theorem for ultradifferentiable functions of Beurling type
cites work: The Borel map in the mixed Beurling setting
cites work: On a class of ultradifferentiable functions
cites work: Beyond Gevrey regularity
cites work: A Paley-Wiener theorem in extended Gevrey regularity
cites work: Extension of Whitney jets of controlled growth
cites work: Q4196713
cites work: Q3228872
cites work: Flat functions in Carleman ultraholomorphic classes via proximate orders
cites work: Extension maps in ultradifferentiable and ultraholomorphic function spaces
cites work: Extension Gevrey et rigidité dans un secteur
cites work: Division by flat ultradifferentiable functions and sectorial extensions
DOI: 10.1007/S00025-023-01859-W
description: scientific article; zbMATH DE number 7669099