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   -> Volume 1, Issue 6

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Author Message
Lawrence Baggett, University of Colorado

PostPosted: Fri Oct 09, 1992 8:16 pm    
Subject: preprint available
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preprint available

The following preprint is available.

General Existence Theorems for Orthonormal Wavelets,
An Abstract Approach

L. Baggett, A. Careyg, W. Morang, P. Ohring

Methods from noncommutative harmonic analysis are used to
develop an abstract theory of orthonormal wavelets.
The relationship between the existence of an
orthonormal wavelet and the existence of a multi-resolution is
clarified, and four theorems guaranteeing the
existence of wavelets are proved.
As a special case of the fourth theorem,
a generalization of known results on the existence of
smooth wavelets having compact support is obtained.

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