【文件属性】:
文件名称:FRAMES GENERATED BY ACTIONS OF COUNTABLE DISCRETE
文件大小:201KB
文件格式:PDF
更新时间:2014-06-28 11:05:38
frames
We consider dual frames generated by actions of countable discrete groups on a
Hilbert space. Module frames in a class of modules over a group algebra are shown to coincide
with a class of ordinary frames in a representation of the group. This has applications to shift-
invariant spaces and wavelet theory. One of the main findings in this paper is that whenever
a shift-invariant sub space in L2(Rn) has compactly supported dual frame generators then
it also has compactly supported bi-orthogonal generators. The crucial part in the proof
is a theorem by Swan that states that every finitely generated projective module over the
Laurent polynomials in n variables is free.