English

M\"obius transformation and the integral representation of endofunctions

Functional Analysis 2025-06-13 v2

Abstract

We supplement the Herglotz-Nevanlinna integral representation of so-called Pick functions by adding the formula for M\"obius transforms and the positivity characterization near boundary supports.

Keywords

Cite

@article{arxiv.2504.07617,
  title  = {M\"obius transformation and the integral representation of endofunctions},
  author = {Tomohiro Hayashi and Shigeru Yamagami},
  journal= {arXiv preprint arXiv:2504.07617},
  year   = {2025}
}

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19 pages