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Oblique multiwavelets in Hilbert spaces
Authors:Wai-Shing Tang
Affiliation:Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Republic of Singapore
Abstract:In this paper, we elucidate the relationship between two consecutive levels of a multiresolution in the general setting of a Hilbert space. We first prove a result on an extendability problem and then derive, as a consequence, characterizations of oblique multiwavelets in a Hilbert space.

Keywords:Riesz basis   biorthogonal system   oblique projection   multiwavelets
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