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Spherical Designs

In this subsection we give a brief overview of the most important results concerning spherical designs.


dfn140


 stz153


 stz157


dfn165


bem169

A necessary and sufficient condition for t-designs that uses special matrix equations is given in [8].


bsp181

The following two theorems show that tight spherical designs and thus equally weighted quadrature formulae scarcely exist for tex2html_wrap_inline3269.


stz186


stz189


next up previous
Next: Gauss Quadrature Formulae Up: Existence of Cubature Formulae Previous: Existence of Cubature Formulae

Joerg Fliege
Thu Dec 23 19:39:35 CET 1999