摘要：The concept of P-vectorfields on two-manifolds is introduced and some propertiesof P-vectorfields are proved.Particularly,it is shown that some P-vectorfields on thetorus have no nontrivial recurrent orbits.Also,the absence of closed orbits for the leftinvariant vectorfields on two-dimensional Lie group is discussed.
摘要：As well known,the jackknife and the bootstrap methods fail for the mean of thedependent observations.Recently,the moving blocks jackknife and bootstrap havebeen proposed in the case of the dependent observations.For the mean of the strictlystationary and m-dependent observations,it has been proved that the proposeddistribution and variance estimators are weakly consistent.This paper proves that thedistribution and variance estimators are strongly consistent for the mean(and theregular functions of mean)of the strictly stationary and m-dependent or(?)-mixingobservations.
摘要：For a locally Lipschitz map f:Rn→En,the well known inverse function theoremgives a sufficient condition for f to be a Lipschitz local homeomorphims at a point x0,that is,（?）f（x0）is invertible.In this paper,it is showed that this condition is notnecessary and some necessary and sufficient conditions are given.
摘要：In this paper the concept △-context is introduced,as a generalization of MoritaContext,to give a characterization of nonsingularly relative primitive rings.
摘要：In this paper,integrable operators with respect to right tranlation are defined and theirelementary properties are discussed.The main results of Fourier transform for opertors and theParseval formula for operators are also proved.
摘要：The author considers the possibility of generalizing the theory of classicalpolynomials to the higher dimensional case.The starting point is the splitting up ofthe second order differential operator of these polynomials into the derivation operator,considered as an operator between Hilbert spaces and its adjoint.In the case of severaldimensions the derivation operator is replaced by the Dirac operator.As however theset of polynomials in the vector variable x is not dense in the Hilbert modulesconsidered,first a decomposition of these modules in terms of spherical monogenicfunctions is proved.Then by applying the theory to each of the constituents,generalizations of the Gegenbauer and the Hermite polynomials are obtained.
摘要：Let C be a closed convex cone in R~k and let C~p be the p-th direct product of C.Thispaper gives some results of the minimax direction with respect to C~p and an innerproduct based on(?),where is a k×k diagonal matrix with positive diagonalelements,is a p×p positive definite matrix and is the Kronecker product ofand.It is also shown that the results may be applied to test the homogeneity of knormal mean vectors where the mean vectors are restricted by a given partial order.
摘要：Let X={Xi}t∈[0,1]be the Westwater process which is the coordinate process under3-dimensional polymer measure v（g）constructed by J.Westwater.In this paper,theHausdorff dimension problem for the double point set of X is investigated.As a result,it is proved thatdim D2=1,v（g）-a.e.,where D2={x∈R3:X=X?=x for some st∈[0,1]}is the double point set of X
数学年刊B辑（英文版）的期刊信息
曾用名：数学年刊B辑(英文版);Chinese Annals of Mathematics
创刊时间：1980
地区：CHINA MAINLAND
语言：中文
热门主题：Fudan University appointed by the Ministry of Education of China
