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The present paper has a twofold contribution: first, we introduce a newconcept of Hardy spaces on a multidimensional complexified annular domain whichis closely related to the annulus of the Klein-Dirac quadric important inConformal Quantum Field Theory. Secondly, for functions in these Hardy spaces,we provide error estimate for the polyharmonic Gau\ss -Jacobi cubatureformulas, which have been introduced in previous papers.

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