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141.
关于调和映照的一个 Liouville型定理 总被引:2,自引:2,他引:0
张希 《浙江大学学报(理学版)》2000,27(2):124-127
本文证明了完备非紧 Riemann流形 M,若其上不存在非常数、具有限 Dirichlet积分的调和函数 , 则从 M出发到任何 C-H流形的具有限能量的调和映照必为常值映照. 相似文献
142.
Densely Continuous Forms in Vietoris Hyperspaces 总被引:2,自引:0,他引:2
R. A. McCoy 《Set-Valued Analysis》2000,8(3):267-271
For countably paracompact normal spaces X and locally compact separable metric spaces Y, a characterization is given for the closure of the set of densely continuous forms from X to Y in the hyperspace of nonempty closed subsets of X × Y under the Vietoris topology. This shows that for such X having no isolated points, every closed subset of X × R that is dense over X can be Vietoris approximated by a semicontinuous function on X. 相似文献
143.
We deal with the 2‐orthogonal, 2‐symmetric self‐associated sequence (2‐orthogonal Tchebychev polynomials) and its cubic components.
We prove that all the forms (linear functionals) arising are third degree forms. Therefore, an introduction to third degree
forms is provided. We look for the connection between these components which are 2‐orthogonal with respect to the functional
vector t(w0{μ},w1
μ) and orthogonal sequences with respect to w0
μ, μ=0,1,2. Associated forms w0
μ)1) and their inverse w0
μ)-1 are also studied through the symmetrized w0}0
μ, μ=0,1,2. Further, we give integral representations for some of these forms.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
144.
Shamita Dutta Gupta Xiaotie She 《Proceedings of the American Mathematical Society》2000,128(8):2203-2212
In this paper, we obtain an Euler product with functional equation associated to a noncuspidal metaplectic form on the double cover of . Zagier's idea of Rankin-Selberg method is used to define the convolution of and the -function.
146.
随机Richlet级数的增长性 总被引:1,自引:0,他引:1
本文构造了全平面上的无限级Dirirchlet级数,使得它对型函数的增长性与一个已知的不同分布随机Dirichlet的增长性相同,从而通过前者增长性与指数,系数的关系可研究后者的增长性. 相似文献
147.
The dimensions of maximal isotropic subspaces of symmetric and skew-symmetric forms of degree d in general position are found. 相似文献
148.
In this article we shall determine the automorphic integrals of positive and negative integral weight associated with the full modular group and some Hecke groups. This will be done by using the Hecke Correspondence. We will also give a characterization of multiplier systems of real weight for Hecke groups. 相似文献
149.
We derive a change of variable formula for non-anticipative functionals defined on the space of Rd-valued right-continuous paths with left limits. The functionals are only required to possess certain directional derivatives, which may be computed pathwise. Our results lead to functional extensions of the Itô formula for a large class of stochastic processes, including semimartingales and Dirichlet processes. In particular, we show the stability of the class of semimartingales under certain functional transformations. 相似文献
150.
P. Bonckaert 《Journal of Mathematical Analysis and Applications》2008,344(1):301-321
We study normal forms of isolated singularities of vector fields in Rn or Cn. When all eigenvalues of the linear part of the vector field are nonzero, one can eliminate all so-called nonresonant terms from the equation provided some spectral condition (like Siegel) is satisfied. In this paper, we discuss the case where there is one zero eigenvalue (in that case Siegel's condition is not satisfied), and show that the formal normalizing transformations are either convergent or divergent of at most Gevrey type. In some cases, we show the summability of the normalizing transformations, which leads to the existence of analytic normal forms in complex sectors around the singularity. 相似文献