Open AccessMultiresolution Analysis and Haar Wavelets on the Laguerre Hypergroup
Author(s) -
Peizhu Xie,
Jianxun He
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/975901
Subject(s) - algorithm , artificial intelligence , computer science
Let ℍn be the Heisenberg group. The fundamental manifold of the radial function space forℍn can be denoted by [0,+∞)×ℝ, which is just the Laguerre hypergroup. In this paper themultiresolution analysis on the Laguerre hypergroup 𝕂=[0,+∞)×ℝ is defined. Moreover theproperties of Haar wavelet bases for La2(𝕂) are investigated
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