English

A Simple Kontinuit\"atssatz

Complex Variables 2014-10-28 v2

Abstract

We are interested in several informal statements referred as "Kontinuit\"atssatz" in the recent literature on analytic continuation. The basic (unstated) principle that seems to be in use in these works appears to be a folk theorem. We provide a precise statement of this folk Kontinuit\"atssatz and give a proof of it.

Keywords

Cite

@article{arxiv.1307.2325,
  title  = {A Simple Kontinuit\"atssatz},
  author = {Chandan Biswas},
  journal= {arXiv preprint arXiv:1307.2325},
  year   = {2014}
}

Comments

12 pages; final accepted version appears in Complex Var. Elliptic Equ. in the issue stated below

R2 v1 2026-06-22T00:47:57.617Z