Fonctions séparément analytiques. (Separately analytic functions)
In this paper we study the functions of two real variables which are separately real-analytic. We prove that they are jointly analytic at every point except on a closed set whose projections over both axes are polar. Conversely, for any such closed set F we provide a separately analytic function whose domain of analyticity is the complement of F.
scientific article; zbMATH DE number 4116859