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Wavelet and Weyl transforms associated with the spherical mean operator
Zhao, JM; Peng, LH
2004-10-01
Source PublicationINTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN0378-620X
Volume50Issue:2Pages:279-290
AbstractThe 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.
Keywordwavelet transform Weyl transform spherical mean operator
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000225230400008
PublisherBIRKHAUSER VERLAG AG
Citation statistics
Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19203
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Recommended Citation
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.
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