Malgrange–Zerner theorem
id:
malgrange-zerner-theorem-257-4393230
title:
Malgrange–Zerner theorem
text:
In mathematics, Malgrange–Zerner theorem shows that a function on R n allowing holomorphic extension in each variable separately can be extended, under certain conditions, to a function holomorphic in all variables jointly. This theorem can be seen as a generalization of Bochner's tube theorem to functions defined on tube-like domains whose base is not an open set. Theorem Let and let W = convex hull of X . Let f : X → C be a locally bounded function such that f ∈ C ∞ and that for any fixed poin
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem about holomorphic functions of several complex variables
original url:
https://en.wikipedia.org/wiki/Malgrange%E2%80%93Zerner_theorem
date created:
date modified:
2024-03-07T20:47:18Z
main entity:
{"identifier":"Q107547910","url":"https://www.wikidata.org/entity/Q107547910"}
image:
fields total:
13
integrity:
14