Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2012
- DOI:
- 10.48550/arXiv.1204.0815
- arXiv:
- arXiv:1204.0815
- Bibcode:
- 2012arXiv1204.0815K
- Keywords:
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- Mathematics - Numerical Analysis;
- Mathematics - Complex Variables
- E-Print:
- 25 pages