Fonctions de Carathéodory sur une surface de Riemann et espaces à noyau reproduisant associés ∗ ∗ The research of both authors was supported by the Israel Science Foundation (Grant no. 322/00) Academic Article uri icon


  • Carathéodory functions are functions which are analytic and with a positive real part in the open upper half-plane C+. They are associated to reproducing kernel Hilbert spaces (with reproducing kernel of the form (2)) and play an important role in moment problems and in prediction theory of second order stationary processes. We study their counterpart in the setting of compact real Riemann surfaces.

publication date

  • September 1, 2001