Quasi-analyticity in Carleman ultraholomorphic classes

DOI10.5802/aif.2568zbMath1208.30035arXiv1001.4064OpenAlexW1785958706MaRDI QIDQ609657

Javier Sanz, Alberto Lastra Sedano

Publication date: 1 December 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4064

zbMATH Keywords

asymptotic expansionsWatson's lemmaCarleman classesquasi-analyticity

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Quasi-analytic and other classes of functions of one complex variable (30D60) Algebras of holomorphic functions of several complex variables (32A38)

Related Items

On the summability of a class of formal power series ⋮ Extension operators in Carleman ultraholomorphic classes ⋮ Asymptotic Analysis and Summability of Formal Power Series ⋮ Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform ⋮ Flat functions in Carleman ultraholomorphic classes via proximate orders ⋮ Summability in general Carleman ultraholomorphic classes ⋮ Strongly regular sequences and proximate orders

Cites Work

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• Asymptotic analysis for integrable connections with irregular singular points
• Extension d'un théorème de Carleman
• Division by flat ultradifferentiable functions and sectorial extensions
• Formal power series and linear systems of meromorphic ordinary differential equations
• Quasi-analyticity for functions of several variables
• Gérard-Sibuya's versus Majima's concept of asymptotic expansion in several variables
• Extension maps in ultradifferentiable and ultraholomorphic function spaces

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