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61.
运用包络半群的理论,对接近关系中一个重要定理给出了一个简单证明.作为这一定理的应用,我们得到接近关系可乘性的一个结果.并且对另一种接近关系,也得到一个结果.这两个定理减弱了Clay在这一领域中两个定理的条件. 相似文献
62.
紧拓扑半群上概率测度卷积序列的极限性质 总被引:5,自引:1,他引:4
本文讨论紧拓扑半群上概率测度卷积序列的若干重要极限性质.在第1节中,我们讨论测度集的代数结构与其支撑集代数结构的关系.第2节的定理1,通过支撑集的代数结构给出组合收敛测度序列的一个极限定理.在定理2中我们讨论独立同分布时的情形,建立了一类紧半群上的Kawada-It型结果.这些定理推广了紧群、紧交换半群、紧L-X半群上一些相应的结论. 相似文献
63.
一类Schrodinger方程的周期解和谱方法 总被引:1,自引:0,他引:1
本文利用半群理论讨论了一类非线性非自共轭Schrodinger方程周期初边值解的存在唯一性,以及它的Fourier谱方法的可解性,稳定性和收敛性 相似文献
64.
P-正则半群的双序集 总被引:1,自引:0,他引:1
本文刻划了双序集E为某P-正则半群的幂等元双序集的充要条件.所得定理不仅推广了D.Easdown关于带的双序集的结论,而且导出了正则*-半群的幂等元双序集的一个刻划.进而还对P-正则半群的若干特殊情形及向非正则半群的推广进行了讨论. 相似文献
65.
In the last paper, the geometry of the Sz.-Nagy-Foia
model for contraction operators on Hilbert spaces was used to advantage in several problems of multivariate analysis. The lifting of intertwining operators, one of the basic results from the Sz.-Nagy-Foia
theory, is now recognized as the most adequate operatorial form of the deep classical results of the extrapolation theory. The labeling of the exact intertwining dilations given by [1]Acta Sci. Math. (Szeged) 40 9–32] and the recursive methods used there open a broad perspective for using the Sz.-Nagy-Foia
model in multivariate filtering theory. In this paper, using the notion of correlated action (see [5 and 6] Rev. Roumaine Math. Pures Appl. 23, No. 9 1393–1423]) as a time domain, a linear filtering problem is formulated and its solution in terms of the coefficients of the analytic function which factorizes the spectral distribution of the known data and the coefficients of an analytic function which describes the cross correlations is given. In some special cases it is shown that the filter coefficients can be determined using recursive methods from the intertwining dilation theory, of the autocorrelation function of the known data and an intertwining operator, interpreted as the initial estimator given by the prior statistics. 相似文献
66.
The nonlinear Boltzmann equation with a discretized spatial variable is studied in a Banach space of absolutely integrable functions of the velocity variables. Conservation laws and positivity are utilized to extend weak local solutions to a global solution. This is shown to be a strong solution by analytic semigroup techniques.Supported by National Science Foundation Grant ENG-7515882. 相似文献
67.
Cédric Rousseau 《Bulletin of the Brazilian Mathematical Society》2005,36(3):379-391
Let A be a symmetric hyperbolic matrix in SL(2, ℤ) and Γ the subgroup of SL(2, ℤ) generated by A. We aim to study the infinitesimal rigidity of the standard action of Γ on the torus
. More precisely, we will consider the Sobolev Ws–infinitesimal rigidity of this action (that is to determine if the cohomology space H1(Γ,Ws (T M)) is trivial or not), and show that it is Ws–infinitesimally rigid only if 0 ≤ s < 1. A consequence will be that this action is not C∞–infinitesimally rigid.
*I would like to thank A. El Kacimi for introducing me this problem about which we had many fruitful discussions. 相似文献
68.
69.
Fernando Abadie 《Proceedings of the American Mathematical Society》2004,132(4):1037-1047
We prove that, as in the case of global actions, any partial action gives rise to a groupoid provided with a Haar system, whose -algebra agrees with the crossed product by the partial action.
70.
Toka Diagana Gaston Nguerekata Nguyen Van Minh 《Proceedings of the American Mathematical Society》2004,132(11):3289-3298
This paper is concerned with the existence of almost automorphic mild solutions to equations of the form
where generates a holomorphic semigroup and is an almost automorphic function. Since almost automorphic functions may not be uniformly continuous, we introduce the notion of the uniform spectrum of a function. By modifying the method of sums of commuting operators used in previous works for the case of bounded uniformly continuous solutions, we obtain sufficient conditions for the existence of almost automorphic mild solutions to in terms of the imaginary spectrum of and the uniform spectrum of .
where generates a holomorphic semigroup and is an almost automorphic function. Since almost automorphic functions may not be uniformly continuous, we introduce the notion of the uniform spectrum of a function. By modifying the method of sums of commuting operators used in previous works for the case of bounded uniformly continuous solutions, we obtain sufficient conditions for the existence of almost automorphic mild solutions to in terms of the imaginary spectrum of and the uniform spectrum of .