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arXiv · 1204.0815

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

Ognyan Kounchev·Hermann Render
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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.

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BibTeXRIS

Ognyan Kounchev, Hermann Render. 2012-04-03. Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas. https://arxiv.org/abs/1204.0815

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