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

doi:10.1007/s11464-007-0030-5

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (3) : 491-499. DOI: 10.1007/s11464-007-0030-5

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

ZHAO Jiman¹, PENG Lizhong²

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Abstract

A series of admissible wavelets is ?xed, 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).

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ZHAO Jiman, PENG Lizhong. Quaternion-valued admissible wavelets and orthogonal decomposition of L2(IG(2),H). Front. Math. China, 2007, 2(3): 491‒499 https://doi.org/10.1007/s11464-007-0030-5