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	Admissible wavelets associated with the affine automorphism group of the Siegel upper half-plane
	He, JX ; Liu, HP
	1997
英文摘要	Let P = NAM be the minimal parabolic subgroup of SU(n + 1, 1), which can be regarded as the affine automorphism group of the Siegel upper half-plane Un+1, P also acts on the Heisenberg group H-n, the boundary of Un+1. Therefore P has a natural representation U on L(2)(H-n). We decompose L(2)(H-n) into the direct sum of the irreducible invariant closed subspaces under U. The restrictions of U on these subspaces are square-integrable. We give the characterization of the admissible condition in terms of the Fourier transform and define the wavelet transform with respect to admissible wavelets. The wavelet transform gives isometric operators from the irreducible invariant closed subspaces of L(2)(H-n) to L(2)(P). (C) 1997 Academic Press.; Mathematics, Applied; Mathematics; SCI(E); EI; 11; ARTICLE; 1; 58-70; 208
语种	英语
出处	SCI ; EI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158096]
专题	数学科学学院
推荐引用方式 GB/T 7714	He, JX,Liu, HP. Admissible wavelets associated with the affine automorphism group of the Siegel upper half-plane. 1997-01-01.

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