S（l^∞）上距l^∞的平移子空间距离为1的点

讨论Ｂａｎａｃｈ 极限时，往往考虑ｌ∞ 的平移子空间Ｍ ＝ ｛（ａ１，ａ２ － ａ１，…ａｎ － ａｎ－ １，…）｜｛ａｎ｝ ∈ｌ∞｝，本文找出了ｌ∞ 的单位球面Ｓ（ｌ∞） 上距Ｍ 的距离为１ 的一切点．

The Properties of Finitely Generated Shift-invariant Subspace in L_(2π)~2

In this paper, some properties of shift invariant subspace in Periodic wavelets theory are discussed.

Invariance of shift-invariant spaces

In this paper, we give a characterization of shift-invariant subspaces which are also invariant under additional non-integer translations. Both principal and finitely generated shift-invariant subspaces are studied. Our results improve some known ones.