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《Journal of Anhui Normal University(Natural Science)》 2007-04
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A Condition of Norm Continous Regularized Sempigroup

LI Ji-kuo,DUAN Feng(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China)  
In this paper,we,at first,by laplace transform and Fourier transform,got a representation theorem for a C2-regularized semigroup T(t)C in Hilbert space.Under this representation theorem,we got a sufficient condition for norm continuity of regularized semigroups T(t)C.
【Fund】: 安徽省教育厅自然科学研究项目(2003KJ165)
【CateGory Index】: O152.7
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