Quaternion-valued admissible wavelets and orthogonal decomposition of L²(IG(2), ℍ)

Abstract

A series of admissible wavelets is fixed, which forms an orthonormal basis for the Hilbert space of all the quaternion-valued admissible wavelets. It turns out that their corresponding admissible wavelet transforms give an orthogonal decomposition of L²(IG(2), ℍ).

Keywords

Quaternion algebra / admissible wavelet transform / orthogonal decomposition

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