高校应用数学学报B辑
高校應用數學學報B輯
고교응용수학학보B집
APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2002年
3期
291-300
,共10页
shift-invariant spaces%difference operators%linearly independent shifts%generator
Shifts-invariant spaces in L1(R) are investigated. First,based on a study of the system of linearly difference operators,the method of constructing generators with linearly independent shifts is provided. Then the characterizations of the closed shift-invariant subspaces in L1(R) are given in terms of such generators and the local basis of shift-invariant subspaces.