带有理因子的有理样条函数空间的维数级数

On Dimension Series for Rational Spline Function Space with Rational Weight Space with Rational Weight

考虑了应用吴方法求解多元有理样条函数的计算问题，将多项式样条函数的维数级数理论推广到带有理因子的有理样条空间，建立了相应的维数公式。

This paper considers the problem of computing multivariate rational spline by using Wu-method, extend the result of dimension series for polynomial spline to rational spline with rational weight. The dimension series for rational spline with rational weight is given by Hilbert polynomial of graded module.