2 papers
math.CV2025
Indefinite structure of the Bergman kernel on the open unit disk
Kenta Kojin, Shuhei Kuwahara, Michio Seto
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 ke…
math.FA2020
Operator theory induced by powers of the de Branges-Rovnyak kernel and its application
Shuhei Kuwahara, Michio Seto
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…