Möbius transformation and the integral representation of endofunctions

We supplement the Herglotz–Nevanlinna integral representation of so-called Pick functions by adding a formula for Möbius transforms and a positivity characterization near boundary supports.

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Publication Details

Journal
International Journal of Mathematics
Published
2025-08-30
DOI
https://doi.org/10.1142/s0129167x25500533
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

Möbius transformation and the integral representation of endofunctions

Shigeru Yamagami, Tomohiro Hayashi
International Journal of Mathematics
Mathematics and Applications
article

Möbius transformation and the integral representation of endofunctions

Shigeru Yamagami, Tomohiro Hayashi
article en

Abstract

We supplement the Herglotz–Nevanlinna integral representation of so-called Pick functions by adding a formula for Möbius transforms and a positivity characterization near boundary supports.

International Journal of MathematicsVol. 36(13)
Nagoya Institute of Technology (JP), Nagoya University (JP)
Openalex Percentile: Top 72%
Mathematics and Applications
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Möbius transformation and the integral representation of endofunctions — Shigeru Yamagami, Tomohiro Hayashi · International Journal of Mathematics (2025) | TGRS Research Map | TGRS