The number of orthogonal exponentials on L~2(μM,D)-space with R~n
Ka Lu · Basic Sciences Journal of Textile Universities · 2014
The spectrality of the self-affine measure is an important branch of the theory of spectral.Let M ∈ Mn(R)be an expanding matrix associated with a finite subset D■Zn.In this paper,it gives some criterions to judge the number of orthogonal exponentials on the L2(μM,D)-space with Rn,which extends the results of Jorgensen and LI Jian-lin with M ∈ Mn(Z),D■Zn.