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1.
刘文芬  蔡国权 《应用数学》1999,12(4):98-102
本文给出一类m值逻辑函数Chrestenson谱的分解式,并据此给出了环Zm上非线性弹性函数的一些新的构造方法。  相似文献   

2.
m值逻辑函数的谱分解式及广义Bent函数的递归构造   总被引:1,自引:0,他引:1  
王隽  李世取 《应用数学》1999,12(1):115-120
本文用概率方法得到m值逻辑函数Chrestenson循环谱的分解式,据此考察了m值广义Bent函数一些新的性质,给出了递归构造m(m≠2mod4)值广义Bent函数的一般方法.  相似文献   

3.
关于两个P-值逻辑函数的和函数的Chrestenson谱公式   总被引:3,自引:0,他引:3  
李凌之 《数学杂志》2000,20(3):311-314
类似于两个布尔函数的和函数的walsh谱公式,本文给出了两个3-值、5-值、7-值逻辑函数和函数的Chrestenson谱公式。  相似文献   

4.
有限域上随机变量联合分布及二阶矩的分解与应用   总被引:4,自引:0,他引:4  
本文给出了有限域上随机变量联合概率和二阶矩的分解公式,给出了有限域上随机变量相互独立的谱刻划,应用上述结果,建立了在进行频次分析时,对有限域上随机向量构造的Χ平方统计量与该随机向量坐标函数的非零线性组合的Χ平方统计量之间的内在联系,给出了有限域上相关免疫函数谱特征的新证明,建立了有限域上多输出函数的差分分布与其广义Chrestenson循环谱之间的内在联系,建立了多输出函数的平衡性其差分分布之间的内在联系。  相似文献   

5.
关于集值Pramart的某些结果   总被引:10,自引:1,他引:9  
本文引进了Boohner可积函数空间L~1[Ω;X]中子集的可分解包的概念,给出了集值随机变量族本性上确界的定义及基本性质。以此为基础,研究了集值Pramart的性质;用类似于实值Snell包的方法给出了集值superpramart的上鞅逼近,证明了集值superpramart在Kuratowski-Mosco意义下的收敛定理。  相似文献   

6.
布尔“复合函数”的Walsh循环谱和自相关函数   总被引:1,自引:0,他引:1  
本文利用布尔随机变量联合分布的分解式给出了布尔“复合函数”和某布尔函数符合率的分解算式,由此求得了布尔“复合函数”的 Walsh循环谱和自相关函数的计算公式,公式清楚地表明了“复合”所得布尔函数的 Walsh循环谱与起“复合”作用的函数和被“复合”的各函数所有线性组合的 Walsh循环谱之间的关系、“复合”所得布尔函数的自相关函数与起“复合”作用的函数谱和被“复合”的各函数的谱及相关函数之间的关系,这两个公式在布尔函数的密码学性质研究中会有广泛的应用.  相似文献   

7.
实值随机变量的随机序与对偶随机序   总被引:2,自引:0,他引:2  
本文讨论随机变量的高阶序问题,1简要地叙述了随机变量排序的经济学含义,主要是期望效用理论与其对偶理论,2讨论了实值随机变量基于分布函数的高阶序问题,给出了其基于期望效用理论的刻画。3讨论的是实值随机变量的基于对偶理论(对偶矩)的高阶序问题,并给出了其基于随机变量的Yarri等价性度量的刻画。  相似文献   

8.
在X^*可分的条件下,首先讨论了集值Pramart有关支撑函数和距离函数的性质,利用支撑函数和距离函数研究了集值Pramart鞅逼近,在此基础上,给出了集值Pramart的一类鞅分解.  相似文献   

9.
集值 Pramart 的鞅分解   总被引:1,自引:0,他引:1  
研究了集值Pramart的若干性质,利用支撑函数得到了集值Pramart的收敛定理,同时,证明了实值Pramart的鞅分解定理.以此为基础,给出了集值Pramart在Kuratowski-Mosco意义下的鞅分解定理.  相似文献   

10.
高勇  张文修 《中国科学A辑》1994,37(2):113-121
本文首次引入了超空间(子集空间)上选择算子概念,给出了几类选择算子的存在定理。作为它们的应用,给出了集值随机变量同分布的选择刻画;圆满解决了依分布收敛集值随机变量列的向量值选择问题;研究了集值随机过程的正则选择与Markov选择,给出了集值Markov过程的离散化定理,证明了紧凸集值渐近鞅的向量值渐近鞅选择存在定理。  相似文献   

11.
本文研究了p-进单项式动力系统的严格遍历分解.利用代数数论的理论和Halmos与von Neumann定理,给出了p-进单项式动力系统严格遍历分解的一个新证明.  相似文献   

12.
In this paper we study the trivial zero of the p-adic L function of the symmetric square of an elliptic curve and generalize a conjecture of Greenberg. For that, we use the new approach to p-adic L functions introduced in a previous work.  相似文献   

13.
Gaussian distributions on infinite-dimensional p-adic spaces are introduced and the corresponding L2-spaces of p-adic-valued square integrable functions are constructed. Representations of the infinite-dimensional Weyl group are realized in p-adic L2-spaces. There is a formal analogy with the usual Segal representation. But there is also a large topological difference: parameters of the p-adic infinite-dimensional Weyl group are defined only on some balls (these balls are additive subgroups). p-adic Hilbert space representations of quantum Hamiltonians for systems with an infinite number of degrees of freedom are constructed. Many Hamiltonians with potentials which are too singular to exist as functions over reals are realized as bounded symmetric operators in L2-spaces with respect to a p-adic Gaussian distribution.  相似文献   

14.
ONTHEHARISH-CHANDRAHOMOMORPHISMFORTHECHEVALLEYGROUPSOVERP-ADICFIELD¥CHENZHONGHU(DepartmentofMathematics,XiangtanUniversitytXi...  相似文献   

15.
We prove the p-adic transcendence and p-adic transcendence measures for the values of some Mahler type functions.  相似文献   

16.
In this article the p-adic Lizorkin spaces of test functions and distributions are introduced. Multi-dimensional Vladimirov’s and Taibleson’s fractional operators, and a class of p-adic pseudo-differential operators are studied on these spaces. Since the p-adic Lizorkin spaces are invariant under these operators, they can play a key role in considerations related to fractional operator problems. Solutions of pseudo-differential equations are also constructed. Some problems of spectral analysis of pseudo-differential operators are studied. p-Adic multidimensional Tauberian theorems connected with these pseudo-differential operators for the Lizorkin distributions are proved.  相似文献   

17.
In this paper, we give the p-adic measures of algebraic independence for the values of Ramanujan functions and Klein modular functions at algebraic points.  相似文献   

18.
Integration of p-adic-valued functions has first been considered by F. Tomás[12] and F. Bruhat [2]. Their p-adic integral being translation-invariant is far too restrictive for analytic and number-theoretical purposes. In this paper we define an integral for certain functions on a class of topological groups with values in complete topological fields. In particular we obtain a generalized integral on the rational p-adic field with values in an algebraically closed and complete extension of , which makes all locally-analytic functions (e.g. all Laurent-series) integrable. Applications to generalized Bernoulli-numbers and special p-adic functions will be given in the next part of this note.  相似文献   

19.
Gaussian measures on infinite-dimensional p-adic spaces are defined and the corresponding L2-spaces of p-adic-valued square integrable functions are constructed. Representations of the infinite-dimensional Weyl group are realized in such spaces and the formal analogy with the usual Segal representation is discussed. It is found that the parameters of the p-adic infinite-dimensional Weyl group are defined only on some balls. In p-adic Hilbert space, representations of quantum Hamiltonians for systems with an infinite number of degrees of freedom are constructed. The Hamiltonians with singular potentials are realized as bounded symmetric operators in L2-space with respect to a p-adic Gaussian measure. Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 112, No. 3, pp. 355–374, September. 1997.  相似文献   

20.
The logical derivatives of p-adic copy-shift and shift-copy generalized Bridge functions are given in this paper. When p equals 2, they are exactly the logical derivatives of natural ordering copy-shift and copy-shift Bridge functions.  相似文献   

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