Reproducing kernels for holomorphic functions on some balls related to the Lie ball

• Autorzy: Keiko Fujita
• Języki publikacji: EN

Abstrakty

EN

We consider holomorphic functions and complex harmonic functions on some balls, including the complex Euclidean ball, the Lie ball and the dual Lie ball. After reviewing some results on Bergman kernels and harmonic Bergman kernels for these balls, we consider harmonic continuation of complex harmonic functions on these balls by using harmonic Bergman kernels. We also study Szegő kernels and harmonic Szegő kernels for these balls.

Kategorie tematyczne

• 30E20: Integration, integrals of Cauchy type, integral representations of analytic functions
• 31B10: Integral representations, integral operators, integral equations methods
• 32A25: Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 91
• Numer: 2-3
• Strony: 219-234

Daty

wydano

2007

Twórcy

autor

Keiko Fujita

• Faculty of Culture and Education, Saga University, Saga, 840-8502, Japan

Identyfikatory

DOI

10.4064/ap91-2-9