摘要
研究了在谱自仿测度中的重要概念谱对和和谐对的刻画.最近,Dorin.Ervin.Dutkay and P.E.T.Jorgensen在Quasiperiodic spectra and orthogonality for iterated function system measures一文中建立了一个一维中谱对和和谐对的刻画,并且得到这种谱集的谱只有有限多个.本文将这一结论推广到了n维,也得到这种谱集的谱只有有限多个.
The concept of spectral pair and compatible pair plays an important role in the study of spectral self-affine measure ment. In a recent paper, Dorin. Ervin. Dutkay and P.E.T.Jorgensen established the characterizations of spectral pair and compatible pair. In the present paper, we generalize the studies of P.E.T.Jorgensen and obatain a general resutl.
出处
《西南民族大学学报(自然科学版)》
CAS
2009年第2期201-204,共4页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
谱对
和谱对
符号函数
谱
spectral pair
compatible pair
symbol function
sptrum