Title of article :
The Shift-Invariant Subspaces in L1(R) Original Research Article
Author/Authors :
Wu Zhengchang، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
In this paper, we investigate finitely generated shift-invariant subspaces in L1(R). We first introduce the notion of the convolution of a vector sequence and a matrix sequence. Then by the theory of dual space of the normed linear space we obtain the complete characterizations of finitely generated shift-invariant spaces in L1(R), based on the existence of generator with linearly independent shifts in finitely generated shift-invariant subspaces on the real line.
Keywords :
linearly independent shifts , generator , annihilator. , shift-invariant spaces
Journal title :
Journal of Approximation Theory
Journal title :
Journal of Approximation Theory