English

A note on uniqueness of extension for characteristic functions

Classical Analysis and ODEs 2020-09-11 v1 Probability

Abstract

Let f:RCf:R\to C be the characteristic function of a probability measure. We study the following question: Is it true that for any closed interval II on RR, which does not contain the origin, there exists a characteristic function gg such that gg coincides with ff on II but g≢fg \not\equiv f on RR?

Cite

@article{arxiv.2009.04497,
  title  = {A note on uniqueness of extension for characteristic functions},
  author = {Saulius Norvidas},
  journal= {arXiv preprint arXiv:2009.04497},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T18:25:36.582Z