Linear Subspace;
Interpolation Problem;
Lagrange Interpolation;
Simple Point;
Hermite Interpolation;
D O I:
10.1023/A:1018933622590
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper we characterize sets of solvability of Hermite multivariate interpolation problems with the sum of multiplicities less than or equal to 2n+1, where n is the degree of the polynomial space. This can be viewed as a natural generalization of a well-known result of Severi (1921).