Wavelet and Weyl transforms associated with the spherical mean operator

	Wavelet and Weyl transforms associated with the spherical mean operator
	Zhao, JM ; Peng, LH
刊名	INTEGRAL EQUATIONS AND OPERATOR THEORY
	2004-10-01
卷号	50 期号:2 页码:279-290
关键词	wavelet transform Weyl transform spherical mean operator
ISSN号	0378-620X
英文摘要	The admissible wavelets associated with spherical mean operator and corresponding Weyl transforms are defined. The admissible condition is given in the generalized Fourier transforms, and Plancherel formula, Parseval formula, Reproducing formula and Reproducing kernel are studied. The criteria of boundedness of the Weyl transform on the L-p- spaces is given in term of the symbol function sigma.
WOS研究方向	Mathematics
语种	英语
出版者	BIRKHAUSER VERLAG AG
WOS记录号	WOS:000225230400008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19202]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, JM
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Zhao, JM,Peng, LH. Wavelet and Weyl transforms associated with the spherical mean operator[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY,2004,50(2):279-290.
APA	Zhao, JM,&Peng, LH.(2004).Wavelet and Weyl transforms associated with the spherical mean operator.INTEGRAL EQUATIONS AND OPERATOR THEORY,50(2),279-290.
MLA	Zhao, JM,et al."Wavelet and Weyl transforms associated with the spherical mean operator".INTEGRAL EQUATIONS AND OPERATOR THEORY 50.2(2004):279-290.