共查询到16条相似文献,搜索用时 15 毫秒
1.
WeiPingLi 《数学学报(英文版)》2003,19(2):233-244
In this paper,we count the number of SL2(F2^s)-representations of torus knot groups up to a conjugacy.For the finite field F2^s with character 2,the counting method is similar to that in out previous work[1].Explicit formulae of the effective counting are given in this paper.Twisted Alexander polynomials related to those reprsentations are discussed. 相似文献
2.
Manuel Flores 《Mathematische Zeitschrift》2008,260(3):699-712
In this paper we show that Kohn’s solution to the \({\bar\partial_b}\) problem fails to be hypoelliptic on some class of high codimension submanifolds of \({\mathbb{C}^n}\). The examples presented here carry a Lie group structure which generalize the one-dimensional Heisenberg group. 相似文献
3.
Guang Lin RANG Zhi Yuan HUANG 《数学学报(英文版)》2007,23(5):895-904
In this paper a complete proof for the existence of generalized operators satisfying abstract 02 dynamical equations of quantum motions δ^2/δt^2Ф(t, x) + ( △- m^2)Ф(t, x) = -λ :Ф^3(t, x), subject to a suitable initial condition, is given under the framework of white noise analysis. Also some important commutation relations related to Ф44 quantum fields are discussed and proved in detail. 相似文献
4.
Guang-hui Cai 《Mathematica Slovaca》2007,57(4):381-388
Strong laws are established for linear statistics that are weighted sums of a
-mixing random sample. The results obtained generalize the results of Baxter et al. [SLLN for weighted independent indentically distributed random variables, J. Theoret. Probab. 17 (2004), 165–181] to
-mixing random variables.
This paper is supported by Key discipline of Zhejiang Province (Key discipline of Statistics of Zhejiang Gongshang University)
and National Natural Science Foundation of China. 相似文献
5.
ChunSu 《数学学报(英文版)》2004,20(1):181-192
In this paper.two new functions are introduced to depict the Jamison weighted sum of random variables instead using the common methods.their properties and relationships are systematically discussed.We also analysed the implication of the conditions in previous papers.Then we apply these consequences to B-valued random variables.and greatly improve the original results of the strong convergence of the general Janfison weighted sum.Furthermore,our discussions are useful to the corresponding questions of real-valued random variables. 相似文献
6.
Joe J. Perez 《Journal of Geometric Analysis》2009,19(1):87-106
Let G be a unimodular Lie group, X a compact manifold with boundary, and M be the total space of a principal bundle G→M→X so that M is also a strongly pseudoconvex complex manifold. In this work, we show that if G acts by holomorphic transformations in M, then the Laplacian
on M has the following properties: The kernel of □ restricted to the forms Λ
p,q
with q>0 is a closed, G-invariant subspace in L
2(M,Λ
p,q
) of finite G-dimension. Secondly, we show that if q>0, then the image of □ contains a closed, G-invariant subspace of finite G-codimension in L
2(M,Λ
p,q
). These two properties taken together amount to saying that □ is a G-Fredholm operator. It is a corollary of the first property mentioned that the reduced L
2-Dolbeault cohomology spaces
of M are finite G-dimensional for q>0. The boundary Laplacian □
b
has similar properties.
相似文献
7.
We construct the category of quotients of
-spaces and we show that it is Abelian. This answers a question of L. Waelbroeck from 1990. 相似文献
8.
Di He HU Zheng Yan XIAO 《数学学报(英文版)》2007,23(1):41-56
There are two parts in this paper. In the first part we construct the Markov chain in random environment(MCRE), the skew product Markov chain and p-θ^→ chain from a random transition matrix and a two-dimensional probability distribution, and in the second part we prove that the invarianee principle for p-θ^→ chain, a more complex non-homogeneous Markov chain, is true under some reasonable conditions. This result is more powerful. 相似文献
9.
Given two vectors x, y in a Hilbert space and a weakly closed -module , we provide a necessary and sufficient condition for the existence of a compact operator T in satisfying Tx = y. 相似文献
10.
The Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables in the Presence of Parameter Symmetry 总被引:1,自引:0,他引:1
Deng Lan CUI Yang Cheng LI 《数学学报(英文版)》2006,22(5):1433-1440
The unfolding of equivariant bifurcation problems with two types of state variables under the action of group K(Г, △) is discussed by using DA-algebraic tools. One of the main results is the equivariant versal unfolding theorem. 相似文献
11.
Long Miao 《Bulletin of the Brazilian Mathematical Society》2007,38(4):585-594
Let
be a class of groups. A subgroup H of a group G is called
-s-supplemented in G, if there exists a subgroup K of G such that G = HK and K/K ∩ HG belongs to
where HG is the maximal normal subgroup of G which is contained in H. The main purpose of this paper is to study some subgroups of Fitting subgroup and generalized Fitting subgroup
-s-supplemented and some new criterions of p-nilpotency of finite groups are obtained.
*This research is supported by the grant of NSFC and TianYuan Fund of Mathematics of China (Grant #10626047). 相似文献
12.
Sehie PARK 《数学学报(英文版)》2007,23(8):1509-1526
Let B be the class of 'better' admissible multimaps due to the author. We introduce new concepts of admissibility (in the sense of Klee) and of Klee approximability for subsets of G-convex uniform spaces and show that any compact closed multimap in B from a G-convex space into itself with the Klee approximable range has a fixed point. This new theorem contains a large number of known results on topological vector spaces or on various subclasses of the class of admissible G-convex spaces. Such subclasses are those of O-spaces, sets of the Zima-Hadzic type, locally G-convex spaces, and LG-spaces. Mutual relations among those subclasses and some related results are added. 相似文献
13.
Zhang Guangji Zhang Cheng Liu Zixin Gang Jiatai 《Fuzzy Optimization and Decision Making》2006,5(2):177-186
Following the seminal work of Xi on the definition of fuzzy ideal in BCI-algebras, three new kinds of definitions of fuzzy
ideal of BCI-algebras are proposed. First, by the use of the relations between fuzzy points and fuzzy sets, the definition
of a (s,t]-fuzzy ideals of BCI-algebras is introduced. The acceptable nontrivial concepts obtained in this manner are the
- fuzzy ideals and
-fuzzy ideals. Second, based on the concept of falling shadow, a theoretical approach of fuzzy ideal is established and the
fuzzy ideal based on t-norm is proposed. Finally, by the use of the implication operators of fuzzy logic, an R-fuzzy ideals
is proposed and relations between the (s,t]-fuzzy ideals and R-fuzzy ideals are discussed.
*Foundation Item:Supported by NNSF of China(60274016). Biography:Zhang Guang-ji(1947-),male,Professor 相似文献
14.
Friedrich Haslinger 《Czechoslovak Mathematical Journal》2008,58(4):1247-1256
We prove that compactness of the canonical solution operator to restricted to (0, 1)-forms with holomorphic coefficients is equivalent to compactness of the commutator
defined on the whole L
(0,1)2(Ω), where is the multiplication by and is the orthogonal projection of L
(0,1)2(Ω) to the subspace of (0, 1) forms with holomorphic coefficients. Further we derive a formula for the -Neumann operator restricted to (0, 1) forms with holomorphic coefficients expressed by commutators of the Bergman projection
and the multiplications operators by z and .
Partially supported by the FWF grant P19147-N13. 相似文献
15.
A. V. Kotikov L. N. Lipatov A. I. Onishchenko V. N. Velizhanin 《Theoretical and Mathematical Physics》2007,150(2):213-224
We present results for the universal anomalous dimension γun(j) of Wilson twist-2 operators in the
supersymmetric Yang-Mills theory in the first three orders of the perturbation theory. We obtain these expressions by extracting
the most complicated terms from the corresponding anomalous dimensions in QCD. The result obtained agrees with the hypothesis
of the integrability of the
supersymmetric Yang-Mills theory in the context of the AdS/CFT correspondence.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 249–262, February, 2007. 相似文献
16.
Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes
of functions generating such measures are described. It is shown by constructing an example that there exists a
-adic path system that defines a differentiation basis which does not possess Ward property. 相似文献