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	PHASE-SPACE, WAVELET TRANSFORM AND TOEPLITZ-HANKEL TYPE OPERATORS
	JIANG, QT ; PENG, LH
	1995
英文摘要	Let IG(n) be the Euclidean group with dilations. It has a maximal compact subgroup SO(n - 1). The homogeneous space can be realized as the phase space IG(n)/SO(n - 1) congruent to R(n) x R(n). The square-integrable representation gives the admissible wavelets AW and wavelet transforms on L(2)(R(n)). With Laguerre polynomials and surface spherical harmonics an orthogonal decomposition of AW is given; it turns to give a complete orthogonal decomposition of the L(2)-space on the phase space L(2)(R(n) x R(n), dxdy/\y\(n+1)) of the form +(infinity)(k=0) +(infinity)(l=0) +(al)(j=0) A(l,j)(k). The Schatten-von Neumann properties of the Toeplitz-Hankel type operators between these decomposition components are established.; Mathematics; SCI(E); 0; ARTICLE; 1-3; 157-171; 89
语种	英语
出处	SCI
出版者	israel journal of mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158113]
专题	数学科学学院
推荐引用方式 GB/T 7714	JIANG, QT,PENG, LH. PHASE-SPACE, WAVELET TRANSFORM AND TOEPLITZ-HANKEL TYPE OPERATORS. 1995-01-01.

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