A Construction Of Multivariate Hermite Wavelet On Invariant Sets

In this paper,we construct multi-dimensional Hermite interpolation in an n-dimensional real Euclidean space R~n using Set Wavelet,and obtain the multl-scale structure.This paper is divided into three parts:n the first part,we give the Set Wavelet associated with some of the concepts and nature.In the second part we give the tree structure,and put forward a multi-dimensional Hermite interpolation conditions.At the same time we use block structure,and an interpolation points,we can obtain Hermite conditions and interpolation function of the solution. In the third part of this paper,we present a construction of multivariate Hermite interpolating wavelets on invariant sets K,and some main conclusions.