A Two Plus One Dimensional Continuous Wavelet Transform

2022/03/01 by Milad, Raja, Taylor, Keith F.
#42C40 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2203.00584

Abstract

The group G₂ of invertible affine transformations of ℝ² 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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