Tight Frames and Their Symmetries
نویسندگان
چکیده
منابع مشابه
Tight Frames and their Symmetries
The aim of this paper is to investigate symmetry properties of tight frames, with a view to constructing tight frames of orthogonal polynomials in several variables which share the symmetries of the weight function, and other similar applications. This is achieved by using representation theory to give methods for constructing tight frames as orbits of groups of unitary transformations acting o...
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We introduce a class of finite tight frames called prime tight frames and prove some of their elementary properties. We show that any finite tight frame can be written as a union of prime tight frames. We then characterize all prime harmonic tight frames as well as all prime frames constructed from the spectral tetris method. As a byproduct of this last result, we obtain a characterization of w...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2004
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-004-0560-y