Multivariate periodic wavelet analysis
Multivariate periodic wavelets are important in wavelet analysis. This paper extends one dimensional shift invariant space to the multivariate on non-tensor product patterns. Firstly, the authors discuss the basic pattern properties. Then, they present some elementary theorems about multivariate spaces. After giving decompositions of the shift invariant spaces, the authors finally show wavelet decompositions of the orthonormalized Dirichlet kernels.
scientific article; zbMATH DE number 5648444