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	Wavelet transform and orthogonal decomposition of L-2 space on the Cartan domain BDI(q=2)
	Jiang, QT
	1997
关键词	Weyl-Poincare group square-integrable representation wavelet transform orthogonal decomposition OPERATORS
英文摘要	Let G = (R*(+) x SO0(1,n)) x Rn+1 be the Weyl-Poincare group and KAN be the Iwasawa decomposition of SO0(1,n) with K = SO(n). Then the ''affine Weyl-Poincare' group'' G(a) = (R*(+) x AN) x Rn+1 can be realized as the complex tube domain II = Rn+1 + iC or the classical Cartan domain BDI(q = 2). The square-integrable representations of G and G(a) give the admissible wavelets and wavelet transforms. An orthogonal basis {psi(k)} of the set of admissible wavelets associated to G, is constructed, and it gives an orthogonal decomposition of L-2 space on II (or the Cartan domain BDI(q = 2)) with every component A(k) being the range of wavelet transforms of functions in H-2 with psi(k).; Mathematics; SCI(E); 3; ARTICLE; 5; 2049-2068; 349
语种	英语
出处	SCI
出版者	transactions of the american mathematical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/402088]
专题	数学科学学院
推荐引用方式 GB/T 7714	Jiang, QT. Wavelet transform and orthogonal decomposition of L-2 space on the Cartan domain BDI(q=2). 1997-01-01.

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