English

No entire inner functions

Complex Variables 2018-10-31 v3 Classical Analysis and ODEs Functional Analysis

Abstract

We study generalized inner functions on a large family of Reproducing Kernel Hilbert Spaces. We show that the only inner functions that are entire are the normalized monomials.

Cite

@article{arxiv.1810.00215,
  title  = {No entire inner functions},
  author = {Alberto Cobos and Daniel Seco},
  journal= {arXiv preprint arXiv:1810.00215},
  year   = {2018}
}

Comments

6 pages, doubling condition added

R2 v1 2026-06-23T04:23:02.267Z