Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas

Details Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas

2012-04-03

arxiv.org/abs/1204.0815v1

Mathematics

Numerical Analysis

25 pages

Scientific paper

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.

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