Frontiers of Mathematics in China >

2007 , Vol. 2 >Issue 3: 491 - 499

DOI: https://doi.org/10.1007/s11464-007-0030-5

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

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

Published date: 05 Sep 2007

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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).

Cite this article

ZHAO Jiman, PENG Lizhong . Quaternion-valued admissible wavelets and orthogonal decomposition of L2(IG(2),H)[J]. Frontiers of Mathematics in China, 2007 , 2(3) : 491 -499 . DOI: 10.1007/s11464-007-0030-5

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