KMS Of Academy of mathematics and systems sciences, CAS
Wavelet and Weyl transforms associated with the spherical mean operator | |
Zhao, JM; Peng, LH | |
2004-10-01 | |
Source Publication | INTEGRAL EQUATIONS AND OPERATOR THEORY |
ISSN | 0378-620X |
Volume | 50Issue:2Pages:279-290 |
Abstract | 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. |
Keyword | wavelet transform Weyl transform spherical mean operator |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000225230400008 |
Publisher | BIRKHAUSER VERLAG AG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19203 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhao, JM |
Affiliation | 1.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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