An extension theorem with analytic singularities for generalized (N,k)-crosses

• Autorzy: Arkadiusz Lewandowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32D10: Envelopes of holomorphy
• 32D15: Continuation of analytic objects

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 103
• Numer: 2
• Strony: 193-208

Daty

wydano

2012

Twórcy

autor

Arkadiusz Lewandowski

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap103-2-7