Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
Numerical Analysis
2012-04-05 v1 Complex Variables
Abstract
The present paper has a twofold contribution: first, we introduce a new concept of Hardy spaces on a multidimensional complexified annular domain which is closely related to the annulus of the Klein-Dirac quadric important in Conformal Quantum Field Theory. Secondly, for functions in these Hardy spaces, we provide error estimate for the polyharmonic Gau\ss -Jacobi cubature formulas, which have been introduced in previous papers.
Keywords
Cite
@article{arxiv.1204.0815,
title = {Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas},
author = {Ognyan Kounchev and Hermann Render},
journal= {arXiv preprint arXiv:1204.0815},
year = {2012}
}
Comments
25 pages