On exact quadrature formulas for harmonic functions on polyhedra

Authors
Gustafsson, B Putinar, M
Citation
B. Gustafsson et M. Putinar, On exact quadrature formulas for harmonic functions on polyhedra, P AM MATH S, 128(5), 2000, pp. 1427-1432
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
5
Year of publication
2000
Pages
1427 - 1432
Database
ISI
SICI code
0002-9939(2000)128:5<1427:OEQFFH>2.0.ZU;2-S
Abstract
A classical quadrature result for analytic functions of a complex variable due to Motzkin and Schoenberg is extended to higher dimensions. A general s cheme for integrating on polyhedra solutions of partial differential equati ons is discussed.