共查询到20条相似文献,搜索用时 437 毫秒
1.
2.
陈庆 《数学年刊A辑(中文版)》2005,(2)
本文对于Krein空间上的强可定化算子(一致可定化箅子)在使扰动前后预解式之差为一秩算子的扰动下,强可定化性,一致可定化性是否成立的问题进行了讨论.得到了使扰动之后的算子保持强可定化性(一致可定化性)的条件. 相似文献
3.
本文对于Krein空间上的强可定化算子(一致可定化算子)在使扰动前后预解式之差为一秩算子的扰动下,强可定化性、一致可定化性是否成立的问题进行了讨论.得到了使扰动之后的算子保持强可定化性(一致可定化性)的条件. 相似文献
4.
考 虑具中间亏指数 的非负系数对 称微分算式 ,在 Krein 空间 L2r [a,∞) 内生 成的自伴 算子,本文证明此算 子是可定化算 子,从而得到其非 实谱仅由有限 个成共轭对的特 征值构成 相似文献
5.
对于Krein空间上J-正常算子
的各种可定化性进行了研究. 利用可定化J-正常算子的谱函数, 给出了临界线的概念,
得到了可定化的J-正常算子成为强可定化算子和一致可定化算子的充要条件. 相似文献
6.
7.
<正> 本文在不定度规空间上讨论与算子约化有关的对称代数和约化代数的若干问题. 下面,我们用∏_k记Pontrjagin空间,其上不定内积记为(·,·),正定内积为[·,·],对L∏_k,记L={x|(x,y)=0,y∈L},记∏_k上线性有界算子全体为B(∏_k).对 相似文献
8.
主要给出了具有再生核的解析函数Hilbert空间中由任意ψ及Ψ所导出的加权复合算子的对偶算子的一般公式.在此基础上,得到了由一些特殊函数所导出的加权复合算子Cψ,Ψ.的对偶算子的更优美结果.最后还给出了加权Bergman空间中CCψ,Ψ自伴的充要条件. 相似文献
9.
本文在B anach空间中,研究一类非线性不适定问题的正则化,所研究的算子是多值的,且是近拟的,假定原始问题是可解的,利用带双参数的T ikhonov正则化方法构造出逼近步骤. 相似文献
10.
江治杰 《纯粹数学与应用数学》2010,26(6):984-991
通过再生核函数刻画了Hardy空间,Bergman空间上自伴加权复合算子以及自伴等距加权复合算子,最后研究了单位球上的分式线性自同构,得到了一个充分条件。 相似文献
11.
12.
ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
13.
We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
14.
It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
15.
16.
《高校应用数学学报(英文版)》2014,29(4)
正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with 相似文献
17.
《数学研究及应用》2014,(6)
正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics. 相似文献
18.
A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6]. 相似文献
19.
Emmanuel Blanc 《Commentarii Mathematici Helvetici》2003,78(4):845-864
Résumé On décrit toutes les feuilles des laminations minimales dont
un ensemble résiduel de feuilles ont 2 bouts.
相似文献
20.