Rigidity for Matrix-Valued Hardy Functions

被引:3
作者
Kasahara, Yukio [1 ]
Inoue, Akihiko [2 ]
Pourahmadi, Mohsen [3 ]
机构
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600811, Japan
[2] Hiroshima Univ, Dept Math, Higashihiroshima 7398526, Japan
[3] Texas A&M Univ, Dept Stat, College Stn, TX 77843 USA
关键词
Hardy spaces; Rigid functions; Stationary processes; PARTIAL AUTOCORRELATION FUNCTIONS; PREDICTION THEORY; EXPLICIT REPRESENTATION; FOURIER SERIES; COEFFICIENTS;
D O I
10.1007/s00020-015-2265-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This note presents a matricial generalization of the concept of rigid functions in the Hardy space H-1, and a spectral characterization of complete non-determinacy for multivariate stationary processes.
引用
收藏
页码:289 / 300
页数:12
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