共查询到20条相似文献,搜索用时 0 毫秒
1.
1.IntroductionandStatementofMainResultsLetKbeasetOfPrimesandK'thecomplementarysetofK.LetGbeafinitegroupandAanon-identitygroupofautomophismsofGsuchthat(lAI,lGI)=1.AsiswellknownitisoftentoobtainonthestructureofGifweimposesomeconditiononproperA-invariantsub-groupsofG.Inthispaper,weareinterestedinthefollowingproblem:IfeveryproperA-in-variantsubgroupsofGisK,closedbutGitselfisnot,thatis,GisaninnerK,closedgroupwithoperatorA,whatisthestructureofG?ThespecialcasethatK={p}wassettledbyProfesso… 相似文献
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Mathematical Notes - 相似文献
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We determine the Hausdorff dimension of the set of double points for a symmetric operator stable Lévy process \(X=\left\{ X(t),t\in \mathbb {R}_+\right\} \) in terms of the eigenvalues of its stability exponent. 相似文献
4.
Alexey Khartov 《Lithuanian Mathematical Journal》2017,57(2):196-203
We consider sums of independent random variables within the scheme of series. We focus on the case where every summand has a zero mean and finite variance and sums have unit variances. We obtain a criterion of stochastic compactness (defined by W. Feller) for sequences of distributions of such sums. The condition of uniform asymptotic negligibility of summands is not supposed. 相似文献
5.
In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on n-dimensional space. The operator Hn is bounded from Lxα1 (Gn) to Lxβq (Gn) with the bound explicitly worked out and the similar result holds for Hn*. 相似文献
6.
Endpoint Estimates for Hardy Operator’s Conjugate Operator with Power Weight on $n$-Dimensional Space 下载免费PDF全文
In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on $n$-dimensional space. The operator $H^*_n$ is bounded from $L^1_{x^\alpha}(\mathbb{G}^n)$ to $L^q_{x^\beta}(\mathbb{G}^n)$ with the bound explicitly worked out and the similar result holds for $\mathcal{H}^\ast_n$. 相似文献
7.
Approximation of Generalized Szász-Mirakjan OperatorChengHailal(程海来)(AnhuiInstituteofTechnology)Abstract:Inthispaper,theautho... 相似文献
8.
We consider a random process which is some version of the Brownian bridge in the space SL(2,R). Under simplifying assumptions we show that the increments of this process increase as t as in the case of the usual Brownian motion in the Euclidean space. The main results describe the limiting distribution for properly normed increments. 相似文献
9.
For a continuous,increasing functionω:[0,∞)→C of finite exponential type,we establish a Hille-Yosida type theorem for strongly continuous α-times(α0)integrated cosine operator functions with O(ω).It includes the corresponding results for n-times integrated cosine operator functions that are polynomially bounded and exponentially bounded. 相似文献
10.
We study the spectral properties of a one-dimensional Schrödinger operator with squareintegrable potential whose domain is defined by the Dirichlet boundary conditions. The main results are concerned with the asymptotics of the eigenvalues, the asymptotic behavior of the operator semigroup generated by the negative of the differential operator under consideration. Moreover, we derive deviation estimates for the spectral projections and estimates for the equiconvergence of the spectral decompositions. Our asymptotic formulas for eigenvalues refine the well-known ones. 相似文献
11.
Ariel Rapaport 《Israel Journal of Mathematics》2018,227(2):911-930
We show there exists a constant 0 < c0 < 1 such that the dimension of every measure on [0, 1], which makes the digits in the continued fraction expansion independent, is at most 1 ? c0. This extends a result of Kifer, Peres and Weiss from 2001, which established this under the additional assumption of stationarity. For k ≥ 1 we prove an analogous statement for measures under which the digits form a *-mixing k-step Markov chain. This is also generalized to the case of f-expansions. In addition, we construct for each k a measure, which makes the continued fraction digits a stationary and *-mixing k-step Markov chain, with dimension at least 1 ? 23?k. 相似文献
12.
Lai Chunhui 《东北数学》1994,(3)
Quasi-range-preservingOperatorLaiChunhui(赖春晖)(DepartmentofMathematics,ZhangzhouTeachers,College,ZhangzhouFujian,363000)Abstra... 相似文献
13.
Ke Su 《应用数学学报(英文版)》2005,21(4):565-570
In this paper, we suggest and analyse a three-step iterative scheme with errors for solving nonlinear strongly accretive operator equation Tx = f without the Lipshitz condition. The results presented in this paper improve and extend current results in the more general setting. 相似文献
14.
Norbert Gorenflo 《Integral Equations and Operator Theory》1999,35(3):366-377
In some earlier publications it has been shown that the solutions of the boundary integral equations for some mixed boundary value problems for the Helmholtz equation permit integral representations in terms of solutions of associated complicated singular algebraic ordinary differential equations. The solutions of these differential equations, however, are required to be known on some infinite interval on the real line, which is unsatisfactory from a practical point of view. In this paper, for the example of one specific boundary integral equation, the relevant solutions of the associated differential equation are expressed by integrals which contain only one unknown generalized function, the support of this generalized function is no longer unbounded but a compact subset of the real line. This generalized function is a distributional solution of the homogeneous boundary integral equation. By this null space distribution the boundary integral equation can be solved for arbitrary right-hand sides, this solution method can be considered of being analogous to the method of variation of parameters in the theory of ordinary differential equations. The nature of the singularities of the null space distribution is worked out and it is shown that the null space distribution itself can be expressed by solutions of the associated ordinary differential equation. 相似文献
15.
Leszek GASINSKI 《数学学报(英文版)》2008,24(1):107-120
The authors study evolution hemivariational inequalities of semilinear type containing a hysteresis operator. For such problems we establish an existence result by reducing the order of the equation and then by the use of the time-discretization procedure. 相似文献
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The present paper is concerned with the method of Iterated Defect Correction (IDeC) for two-point boundary value problems. We investigate the contractive behaviour of the IDeC iteration in a completely discrete setting. Our results (which are a generalization of classical results based on asymptotic expansions of the discretization error) imply the stability of the collocation method which defines the fixed point of the IDeC iteration. 相似文献
17.
Francois NICOLEAU 《数学学报(英文版)》2006,22(5):1485-1492
We consider a pair of Hamiltonians (H, H0) on L2(R^n), where H0=p^2 -x^2 is a SchrSdinger operator with a repulsive potential, and H = H0+V(x). We show that, under suitable assumptions on the decay of the electric potential, V is uniquely determined by the high energy limit of the scattering operator. 相似文献
18.
Delphine Salort 《偏微分方程通讯》2013,38(2):209-228
We consider some linear Schrödinger equation with variable coefficients associated to a smooth symmetric metric g which can be degenerate, without sign and such that g has a submatrix of fixed rank v which is uniformly nondegenerate. In this general setting we prove Strichartz estimates with a loss of derivative on the solution. We also discuss the problem of the control of high frequencies. In particular, we prove that if the equation preserves the H s norm for all s ≥ 0, then we obtain almost the same Strichartz estimates as those for the Schrödinger equation associated to a Riemannian metric of dimension 2d ? v. 相似文献
19.
LIU Jixue ZHANG Sanguo & CHEN Xiru Department of Statistics Finance University of Science Technology of China Hefei China Department of Mathematics Graduate School of Chinese Academy of Sciences Beijing China 《中国科学A辑(英文版)》2006,49(6):752-769
This paper studies the linear EV model when replicate observations are made only on independent variables. We construct the estimates of regression coefficients and prove the consistency and asymptotic normality under some proper conditions. Results obtained reveal the difference between the case where the independent and dependent variables are observed repeatedly and simultaneously and the case studied in this article. 相似文献
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Younghun Hong 《Journal of Fourier Analysis and Applications》2016,22(3):591-622
We establish a Hörmander type spectral multiplier theorem for a Schrödinger operator \(H=-\Delta +V(x)\) in \(\mathbb {R}^3\), provided V is contained in a large class of short range potentials. This result does not require the Gaussian heat kernel estimate for the semigroup \(e^{-tH}\), and indeed the operator H may have negative eigenvalues. As an application, we show local well-posedness of a 3d quintic nonlinear Schrödinger equation with a potential. 相似文献