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

doi:10.1007/s11464-007-0030-5

Front. Math. China

2007, Vol. 2

Issue (3) : 491-499 https://doi.org/10.1007/s11464-007-0030-5

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

ZHAO Jiman¹, PENG Lizhong²

1.School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; 2.LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China;

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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).

Issue Date: 05 September 2007

Cite this article:

ZHAO Jiman,PENG Lizhong. Quaternion-valued admissible wavelets and orthogonal decomposition of L2(IG(2),H)[J]. Front. Math. China, 2007, 2(3): 491-499.

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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-007-0030-5
https://academic.hep.com.cn/fmc/EN/Y2007/V2/I3/491

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