It is proved here that a function in R2 which is separately real analytic in one variable and CR extendible in the other (that is separately holomorphically extendible to a uniform strip), is real analytic. It is also considered the case when the CR extendibility occurs only on one side. The proof is obtained by bringing the problem into the frame of CR geometry
Abstract. In any positive CR-dimension and CR-codimension we provide a construction of real-analytic...
Following Henri Poincare, numerous results in Dynamics establish the curious phenomenon saying that ...
The purpose of this dissertation is to give an analytic disc approach to the CR extension problem. A...
We consider a real analytic foliation of Cn by complex analytic manifolds of dimension m issued tran...
It is shown that if a continuous CR mapping between smooth real analytic hypersurfaces of finite typ...
International audienceWe prove several analyticity results for CR-mappings of positive codimension f...
Real analytic functions on the boundary of the sphere which have separate holomorphic extension alon...
The equivalence problem of G-structures was first studied by E. Cartan. He used a method now known a...
that a continuous map f between real-analytic curves M and M ′ in C that locally extends holomorphic...
A class of Fréchet algebras of real analytic functions is constructed, with a weaker condition than ...
International audienceIn this paper we give general conditions that guarantee the analyticity of ${\...
We discuss the propagation along CR curves of extendibility of CR functions in the framework of the ...
In this paper we extend the results on analytic continuation of germs of holomorphic mappings from a...
We give a new technique makes use of the reflection principle. In fact, through the establishment of...
AbstractReal analytic functions on the boundary of the sphere which have separate holomorphic extens...
Abstract. In any positive CR-dimension and CR-codimension we provide a construction of real-analytic...
Following Henri Poincare, numerous results in Dynamics establish the curious phenomenon saying that ...
The purpose of this dissertation is to give an analytic disc approach to the CR extension problem. A...
We consider a real analytic foliation of Cn by complex analytic manifolds of dimension m issued tran...
It is shown that if a continuous CR mapping between smooth real analytic hypersurfaces of finite typ...
International audienceWe prove several analyticity results for CR-mappings of positive codimension f...
Real analytic functions on the boundary of the sphere which have separate holomorphic extension alon...
The equivalence problem of G-structures was first studied by E. Cartan. He used a method now known a...
that a continuous map f between real-analytic curves M and M ′ in C that locally extends holomorphic...
A class of Fréchet algebras of real analytic functions is constructed, with a weaker condition than ...
International audienceIn this paper we give general conditions that guarantee the analyticity of ${\...
We discuss the propagation along CR curves of extendibility of CR functions in the framework of the ...
In this paper we extend the results on analytic continuation of germs of holomorphic mappings from a...
We give a new technique makes use of the reflection principle. In fact, through the establishment of...
AbstractReal analytic functions on the boundary of the sphere which have separate holomorphic extens...
Abstract. In any positive CR-dimension and CR-codimension we provide a construction of real-analytic...
Following Henri Poincare, numerous results in Dynamics establish the curious phenomenon saying that ...
The purpose of this dissertation is to give an analytic disc approach to the CR extension problem. A...
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