Tight frame approximation for multi-frames and super-frames
نویسنده
چکیده
We consider a generator F 1⁄4 ðf1; y ;fNÞ for either a multi-frame or a super-frame generated under the action of a projective unitary representation for a discrete countable group. Examples of such frames include Gabor multi-frames, Gabor super-frames and frames for shift-invariant subspaces. We show that there exists a unique normalized tight multi-frame (resp. super-frame) generator C 1⁄4 ðc1;y;cNÞ such that PN j1⁄41jjfj cj jj 2pPNj1⁄41jjfj cj jj holds for all the normalized tight multi-frame (resp. super-frame) generators Z 1⁄4 ðZ1;y; ZNÞ: We also investigate the similar problems for dual frames and discuss a few applications to Gabor frames and some other frames. r 2004 Elsevier Inc. All rights reserved. MSC: Primary 42C15; 46C05; 47B10
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 129 شماره
صفحات -
تاریخ انتشار 2004