Wavelet and Weyl transforms associated with the spherical mean operator

CSpace

	Wavelet and Weyl transforms associated with the spherical mean operator
	Zhao, JM ; Peng, LH
	2004-10-01
发表期刊	INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN	0378-620X
卷号	50 期号:2 页码:279-290
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.
关键词	wavelet transform Weyl transform spherical mean operator
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000225230400008
出版者	BIRKHAUSER VERLAG AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19203
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.