arXiv subjects

Shuhei Kuwahara

Publications and source records attributed to Shuhei Kuwahara.

2 recordsLinked to original sources

arXiv2025

Indefinite structure of the Bergman kernel on the open unit disk

In this paper, we focus on an indefinite structure lying behind the Bergman kernel on the open unit disk. In particular, an invariant distance, birational maps and an indefinite kernel are constructed from the Bergman kernel, and we deal with their interaction.

math.CV↗

arXiv2021

Operator theory induced by powers of the de Branges-Rovnyak kernel and its application

In this note, we give a new property of de Branges-Rovnyak kernels. As the main theorem, it is shown that the exponential of de Branges-Rovnyak kernel is strictly positive definite if the inner part of the corresponding Schur class function is nontrivial.

math.FA↗