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convolution operators on H^p(H_k^n)

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Acta Mathematica Sinica,English Series 1997年第2期13卷 145-154页

作者： Zhou Guangcai (Department of Mathematics and Mechanics,Southeast University,Nanjing 210018,China)Zheng Weixing (Department of Mathematics,Nanjing University,Nanjing 210008,China) Department of Mathematics and Mechanics Southeast University Department of Mathematics Nanjing University

Let G=Hkn be the（2n+1）-dimensional Heisenberg group over local field *** this paper we prove some theorems about convolution operators on HP（G）and vector-valued Hardy *** an example,the distribution ∫k*dt/|t| for some ∈S（G）,/∫=0 is a ramified 0-type *** results can be applied to characterize HP（G）spaces by square functions.

关键词： convolution operator Heisenberg group Local field Hardy space

A new remaining useful life estimation method for equipment subjected to intervention of imperfect maintenance activities

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Chinese Journal of Aeronautics 2018年第3期31卷 514-528页

作者： Changhua HU Hong PEI Zhaoqiang WANG Xiaosheng SI Zhengxin ZHANG College of Science High-Tech Institute of Xi'an

As the key part of Prognostics and Health Management（PHM）, Remaining Useful Life（RUL） estimation has been extensively investigated in recent years. Current RUL estimation studies considering the intervention of imperfect maintenance activities usually assumed that maintenance activities have a single influence on the degradation level or degradation rate, but not on *** at this problem, this paper proposes a new degradation modeling and RUL estimation method taking the influence of imperfect maintenance activities on both the degradation level and the degradation rate into account. Toward this end, a stochastic degradation model considering imperfect maintenance activities is firstly constructed based on the diffusion process. Then, the Probability Density Function（PDF） of the RUL is derived by the convolution operator under the concept of First Hitting Time（FHT）. To implement the proposed RUL estimation method,the Maximum Likelihood Estimation（MLE） is utilized to estimate the degradation related parameters based on the Condition Monitoring（CM） data, while the Bayesian method is utilized to estimate the maintenance related parameters based on the maintenance data. Finally, a numerical example and a practical case study are provided to demonstrate the superiority of the proposed method. The experimental results show that the proposed method could greatly improve the RUL estimation accuracy for the degrading equipment subjected to imperfect maintenance activities.

关键词： convolution operator Diffusion process First hitting time Imperfect maintenance Remaining useful life

The Cauchy Problem for a Class of Intergrodifferential Equations

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Northeastern Mathematical Journal 2000年第4期16卷 491-502页

作者：杨成荣 Jilin University

The existence, uniqueness of bounded and continuous solutions of a class of integrodifferential equations and some estimates of solutions are established. Applying these results to integrodifferential systems with a s... 详细信息

关键词： integrodifferential convolution operator existence uniqueness estimates of solutions