English

On identity theorem for real functions

Functional Analysis 2009-11-05 v1 Classical Analysis and ODEs

Abstract

Identity theorem for analytic complex functions says that a function is uniquely defined by its values on a set that contains a density point. The paper presents sufficient conditions for classes of real analytic functions that ensures similar property.

Keywords

Cite

@article{arxiv.0911.0723,
  title  = {On identity theorem for real functions},
  author = {Nikolai Dokuchaev},
  journal= {arXiv preprint arXiv:0911.0723},
  year   = {2009}
}

Comments

3 pages

R2 v1 2026-06-21T14:07:17.654Z