Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas
| Data(s) |
08/12/2013
08/12/2013
2012
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|---|---|
| Resumo |
2010 Mathematics Subject Classification: Primary 65D30, 32A35, Secondary 41A55. In the present paper we introduce a new concept of Hardy type space naturally defined on the Klein-Dirac quadric. We study different properties of the functions belonging to these spaces, in particular boundary value problems. We apply these new spaces to polyharmonic interpolation and to interpolatory cubature formulas. Both authors thank the Alexander von Humboldt Foundation and Grant DO-02-275 with Bulgarian National Foundation. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 147p-176p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Hardy spaces #numerical integration #cubature formulas #error estimate |
| Tipo |
Article |
