Cross theorem

• Autorzy: Marek Jarnicki , Peter Pflug
• Języki publikacji: EN

Abstrakty

EN

Let D,G ⊂ ℂ be domains, let A ⊂ D, B ⊂ G be locally regular sets, and let X:= (D×B)∪(A×G). Assume that A is a Borel set. Let M be a proper analytic subset of an open neighborhood of X. Then there exists a pure 1-dimensional analytic subset M̂ of the envelope of holomorphy X̂ of X such that any function separately holomorphic on X∖M extends to a holomorphic function on X̂ ∖M̂. The result generalizes special cases which were studied in [Ökt 1998], [Ökt 1999], and [Sic 2000].

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 3
• Strony: 295-302

Daty

wydano

2001

Twórcy

autor

Marek Jarnicki

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Peter Pflug

• Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

Identyfikatory

DOI

10.4064/ap77-3-8