Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
arXiv:1204.0815
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 Gauß-Jacobi cubature formulas, which have been introduced in previous papers.
25 pages
References in corpus (3)
- Conformal invariance and rationality in an even dimensional quantum field theory
- Reconsideration of the multivariate moment problem and a new method for approximating multivariate integrals
- Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas