3 papers
math.FA2025
Möbius transformation and the integral representation of endofunctions
Tomohiro Hayashi, Shigeru Yamagami
We supplement the Herglotz-Nevanlinna integral representation of so-called Pick functions by adding the formula for Möbius transforms and the positivity characterization near boun…
math.CV2025
Boundary measures of holomorphic functions on the imaginary domain
Shigeru Yamagami
In connection with the Herglotz-Nevanlinna integral representation of so-called Pick functions, we introduce the notion of boundary measure of holomorphic functions on the imaginar…
math.OA2025
On the primitive ideal space of radial representations of free groups
Shigeru Yamagami
Radial representations of finitely generated free groups are studied. The associated C*-algebra is located between the reduced and full group C*-algebras and its primitive ideal sp…