13 citations · 27 across the 6 of their papers we have counts for
7 papers
Tauberian theorems for --summability with respect to an analytic germ
Sergio A. Carrillo, Jorge Mozo-Fernández, Reinhard Schäfke
The goal of this article is to establish tauberian theorems for the --summability processes defined by germs of analytic functions in several complex variables. The proofs are b…
Asymptotic expansions and summability with respect to an analytic germ
Jorge Mozo-Fernández, Reinhard Schäfke
In a previous article of the authors with M. Canalis-Durand, monomial asymptotic expansions, Gevrey asymptotic expansions and monomial summability were introduced and applied to ce…
An extension of Borel-Laplace methods and monomial summability
Sergio A. Carrillo, Jorge Mozo-Fernández
In this paper we will show that monomial summability can be characterized using Borel-Laplace like integral transformations depending of a parameter . We will apply this res…
Analytic classification of a class of cuspidal foliations in
Percy Fernández-Sánchez, Jorge Mozo-Fernández, Hernán Neciosup
In this article we study the analytic classification of certain types of quasi-homogeneous cuspidal holomorphic foliations in $(\CC^3,{\bf 0})$ via the essential holonomy defined o…
Tauberian properties for monomial summability with applications to Pfaffian systems
Sergio A. Carrillo, Jorge Mozo-Fernández
In this paper we will show that monomial summability processes with respect to different monomials are not compatible, except in the (trivial) case of a convergent series. We will…
On codimension one foliations with prescribed cuspidal separatrix
Percy Fernández-Sánchez, Jorge Mozo-Fernández, Hernán Neciosup
In this paper, we will construct a pre-normal form for germs of codimension one holomorphic foliation having a particular type of separatrix, of cuspidal type. We will also give a…
Strong asymptotic expansions in a multidirection
Alberto Lastra, Jorge Mozo-Fernández, Javier Sanz
In this paper we prove that, for asymptotically bounded holomorphic functions defined in a polysector in , the existence of a strong asymptotic expansion in Majima's…