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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