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ABOUT THE FOURIER TRANSFORMS OF NON-SMOOTH MEASURES ON HYPERSPHERES
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作者 Sun Limin(Hangzhou University, China) 《Analysis in Theory and Applications》 1995年第1期10-15,共6页
If dμ is the Fourier transform of a smooth measure,dμ on the hypersphere Sn-1(n≥2)the there exists a constant C dependent only on n such that |dμ(y) |≤C(1+ |y |)-(n-1) /2 for all y∈Rn. In this paper, we show tha... If dμ is the Fourier transform of a smooth measure,dμ on the hypersphere Sn-1(n≥2)the there exists a constant C dependent only on n such that |dμ(y) |≤C(1+ |y |)-(n-1) /2 for all y∈Rn. In this paper, we show that the above statement is false for non-smooth measures. And we present the corresponding estimations far the Fourier transforms of certain non-smooth measures on Sn-1. 展开更多
关键词 ABOUT the fourier TRANSFORMS OF NON-SMOOTH MEASURES ON HYPERSPHERES
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Predicting the 2019 M7 Strong Earthquake in California
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作者 Guangmeng Guo Yongtao Jiang 《International Journal of Geosciences》 2021年第10期941-948,共8页
The U.S. Geological Survey has estimated a 99% chance of a magnitude 6.7 earthquake in California in the next 30 years from 2008. In this paper, Fourier transform, mode analysis and commensurability analysis are used ... The U.S. Geological Survey has estimated a 99% chance of a magnitude 6.7 earthquake in California in the next 30 years from 2008. In this paper, Fourier transform, mode analysis and commensurability analysis are used to study the earthquake cycle in California and predict </span><span style="font-family:Verdana;">the</span><span style="font-family:Verdana;"> future strong earthquake. The analysis shows that the strong earthquake in California is most likely to occur in 2019, and the prediction was sent to the relevant institutions of United States in 2018. In July 2019 a</span><span style="font-family:Verdana;">n</span><span style="font-family:Verdana;"> M7.1 earthquake occurred in California, which proved our prediction to be correct. 展开更多
关键词 California Earthquake Prediction the fourier Transform COMMENSURABILITY
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Solution of Semi-Boundless Mixed Problem for Time-fractional Telegraph Equation
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作者 Shu-qin Zhang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第4期611-618,共8页
In this paper, we study the semi-boundless mixed problem for time-fractional telegraph equation. We are able to use the integral transform method (the Fourier sin and cos transforms) to obtain the solution.
关键词 Time-fractional telegraph equation the fourier sin and cos transforms mittag-leffier function H-function
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