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

Abstract

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.

32 pages

Cited by in corpus (2)

• Klein-Dirac Quadric and Multidimensional Toda Lattice via Pseudo-positive Moment Problem
• Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas