Special Session 97: 

Reproducing kernels with respect to function spaces of polyharmonic and polyparabolic functions

Masaharu Nishio
Osaka City University
Japan
Co-Author(s):    Katsunori Shimomura
Abstract:
We consider Hilbert spaces of polyharmonic functions on half spaces and the iterates of parabolic operators of fractional order. In this talk, after discussing the relation of harmonic functions with the Poisson operator, we introduce the corresponding Hilbert spaces. And we shall discuss the reproducing kernels.