Note on Cubature Formulae and Designs Obtained from Group Orbits
Note on Cubature Formulae and Designs Obtained from Group Orbits
Abstract In 1960, Sobolev proved that for a finite reflection group G , a G -invariant cubature formula is of degree t if and only if it is exact for all G -invariant polynomials of degree at most t . In this paper, we make some observations on invariant cubature …