The fourier transformations of positive distributions on lorentz groupSO (3, 1) |
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| Authors: | Zhu Li |
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| Institution: | (1) College of Mathematics and Statistics, Wuhan University, 430072 Wuhan, China |
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| Abstract: | With the aid of Plancherel-Godement Theorem, we prove that every positive distributionT onSO (3, 1) which is bi-invariant underSO(3) corresponds to a measure μ on ω=∝σC|s(2-s)>=0∝, and μ can be decomposed intoμ=μ
1+μ
2, whereμ
1 is a bounded measure on 0<=s<=2 andμ
2 is slowly increasing measure on (sχC|Re(s)=1)}
Foundation item: Supported by the National Natural Science Foundation of China (19871065) and Hua Cheng Mathematics Science
Foundation.
Biography: Zhu Li (1976-), male, Graduate student, research interest: partial differential equation |
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| Keywords: | K-bi-in-invariant positive distribution spherical Fourier transformation Laplace-Beltrami operator |
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