Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas


Autoria(s): Kounchev, Ognyan; Render, Hermann
Data(s)

08/12/2013

08/12/2013

2012

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

http://hdl.handle.net/10525/2146

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