Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/104462
Title: Wavelet transform and orthogonal decomposition of L2 space on the cartan domain BDI(q = 2)
Authors: Jiang, Q. 
Keywords: Group
Orthogonal decomposition
Square-integrable representation
Wavelet transform
Weyl-poincaré
Issue Date: 1997
Citation: Jiang, Q. (1997). Wavelet transform and orthogonal decomposition of L2 space on the cartan domain BDI(q = 2). Transactions of the American Mathematical Society 349 (5) : 2049-2068. ScholarBank@NUS Repository.
Abstract: Let G = (R+ × SO0(1,n)) × Rn+1 be the Weyl-Poincaré group and K AN be the Iwasawa decomposition of SOo(l, n) with K = SO(n). Then the "affine Weyl-Poincaré group" Ga = (R+. × AN) × 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 Ga give the admissible wavelets and wavelet transforms. An orthogonal basis of the set of admissible wavelets associated to Ga is constructed, and it gives an orthogonal decomposition of L2 space on II (or the Cartan domain BDI(q = 2)) with every component Ak. being the range of wavelet transforms of functions in H2 with k. ©1997 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/104462
ISSN: 00029947
Appears in Collections:Staff Publications

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