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A Two Plus One Dimensional Continuous Wavelet Transform

Published 1 Mar 2022 in math.FA and math.CA | (2203.00584v1)

Abstract: The group $G_2$ of invertible affine transformations of $\mathbb{R}2$ has, up to equivalence, one square--integrable representation. Two new realizations of this representation are presented and novel continuous wavelet transforms, acting on functions of two plus one variables, are derived.

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