1205.6414 (Ognyan Kounchev et al.)

Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to
Polyharmonic Interpolation and Cubature Formulas    [PDF]

Ognyan Kounchev, Hermann Render

In the present paper we introduce a new concept of Hardy type space naturally defined on the Klein-Dirac quadric. We study different properties of the functions belonging to these spaces, in particular boundary value problems. We apply these new spaces to polyharmonic interpolation and to interpolatory cubature formulas.

View original: http://arxiv.org/abs/1205.6414