Geodesic
An extension theorem with analytic singularities for generalized $(N,k)$-crosses
Arkadiusz Lewandowski1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 193-208.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The main result of the paper is a new Hartogs type extension theorem for generalized $(N,k)$-crosses with analytic singularities for separately holomorphic functions and for separately meromorphic functions. Our result is a simultaneous generalization of several known results, from the classical cross theorem, through the extension theorem with analytic singularities for generalized crosses, to the cross theorem with analytic singularities for meromorphic functions.
DOI : 10.4064/ap103-2-7
Keywords: main result paper hartogs type extension theorem generalized crosses analytic singularities separately holomorphic functions separately meromorphic functions result simultaneous generalization several known results classical cross theorem through extension theorem analytic singularities generalized crosses cross theorem analytic singularities meromorphic functions

Arkadiusz Lewandowski 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Arkadiusz Lewandowski. An extension theorem with analytic singularities
 for generalized $(N,k)$-crosses. Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 193-208. doi : 10.4064/ap103-2-7. http://geodesic.mathdoc.fr/articles/10.4064/ap103-2-7/

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