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math.CV2014★ 10 cited
Multi-level Gevrey solutions of singularly perturbed linear partial differential equations
Alberto Lastra, Stéphane Malek
We study the asymptotic behavior of the solutions related to a family of singularly perturbed linear partial differential equations in the complex domain. The analytic solutions ob…
math.CV2012
Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform
Alberto Lastra, Stéphane Malek, Javier Sanz
A new construction of linear continuous right inverses for the asymptotic Borel map is provided in the framework of general Carleman ultraholomorphic classes in narrow sectors. Suc…
math.CV2010
Quasi-analyticity in Carleman ultraholomorphic classes
Alberto Lastra, Javier Sanz
We give a characterization for two different concepts of quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables in polysectors. Also, working with…