有限级Dirichlet级数及随机Dirichlet级数

本文研究了全平面上有限级Dirichlet级数的增长性和正规增长性,得到了两个充要条件;证明了有限级随机Dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同.     

有限级Dirchlet级数及随机Dirchlet级数

本文研究了全平面上有限级Dirichlet级数的增长性和正规增长性,得到了两个充要条 件;证明了有限级随机Dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同．     

半平面内随机Dirichlet级数的增长性

本文研究了右半平面上有限正级随机Dirichlet级数的增长性.利用Knopp-Kojima的方法,获得了两类随机Dirichlet级数关于型的三个结果,推广了半平面上有限级随机Dirichlet级数增长性的研究范围.     

Dirichlet级数和随机Dirichlet级数的下级增长性

本文研究了全平面上零级和有限级Dirichlet级数及随机Dirichlet级数的下级增长性.利用型函数,得到了其系数和增长性之间的关系,以及当随机变量序列{X_n(ω)}满足一定条件时,零级和有限级随机Dirichlet级数在全平面上所确定的随机整函数在每条水平直线上的下级增长性几乎必然与相应的随机Dirichlet级数的下级增长性相同.     

半平面上无限级Dirichlet级数与随机Dirichlet级数的增长性

研究了半平面上无限级Dirichlet级数及随机Dirichlet级数的增长性,利用熊庆来的型函数及Newton多边形,在较宽的系数条件下给出了几个引理,讨论了半平面上无限级Dirichlet级数关于型函数U(r)的级及下级与系数的关系.得到了相应非同分布的无限级随机Dirichlet级数几乎必然(a.s.)有相同的关系.     

Dirichlet级数及其Dirichlet-Hadamard 乘积的增长性

研究了一类Dirichlet级数关于q-级的增长性问题,并讨论了由两个Dirichlet级数组成的Dirichlet-Hadamard乘积的增长性,获得了Dirichlet-Hadamard乘积与原级数在增长性方面的几个关系.     

Dirichlet级数的广义Hadamard商的增长性

研究了全平面上Dirichlet级数的广义Hadamard商的增长性问题.在构造Dirichlet级数的广义Hadamard商的基础上,利用全平面收敛的Dirichlet级数的增长性的结论,获得了广义Hadamard商的(下)级与(下)型的估计定理.     

二重B-值随机Dirichlet级数的线性增长性

本文研究了二重B-值随机Dirichlet级数线性增长性的问题.利用二重B-值随机变量列{Xmn}在某阶矩一致有界条件下的性质和Paley-Zygmund不等式,并结合二重Dirichlet级数的成果,获得了在一定条件下,二重B-值随机Dirichlet级数a.s.必然与二重Dirichlet级数有相同的线性增长性,推广了二重Dirichlet级数的线性增长性.     

全平面上无限级Dirichlet级数的增长性

利用Knopp-Kojima的方法研究在全平面上收敛的无限级Dirichlet级数的增长性,主要是讨论了Dirichlet级数的βU级与下βU级,应用型函数的方法及牛顿多边形,获得了关于βU级增长性的几个定理.     

零级Dirichet级数的增长性及其Dirichlet-Hadamard乘积

本文研究了全平面上零级Dirichlet级数的增长性的问题.利用复级数理论,进一步讨论了在两种条件下Dirichlet级数的Dirichlet-Hadamard乘积的增长性,获得了零级Dirichlet级数及其Dirichlet-Hadamard乘积涉及对数级与对数型的几个关系定理,推广了孔荫莹等人的结果.     

On the distributions of the ratios of the extreme roots to the trace of the Wishart matrix

In this paper, the authors cosider the derivation of the exact distributions of the ratios of the extreme roots to the trace of the Wishart matrix. Also, exact percentage points of these distributions are given and their applications are discussed.     

On the comparison between the APV and the NPV computed via the WACC

The valuation of levered investment in the practice is made with the WACC approach, even if the superior technique of the APV is available. The paper shows that the APV can be interpreted as the arbitrage free value of the portfolio made by an investment and a supporting loan. Therefore the WACC evaluation, generally different from the APV, allows for arbitrage. We provide various conditions which completely characterize the sign of the error as a functions of all the variables entering the model.     

用常微分方程模型分析预防和隔离措施对SARS发病率的影响

通过建立常微分方程模型 ,分析了预防和隔离措施对 SARS发病率的影响 ,并把计算结果与实际统计数据进行了比较 ,结果表明 ,及时高效的预防和隔离措施能够有效地控制 SARS的传播 .     

On the Gap in the Spectrum of the Translations

The spectrum of the translations in local quantum field theory will be analyzed in order to show that in a positive energy representation without vacuum vector and with lowest mass m₁ there is no gap in the spectrum which is larger than 2m₁. In particular in a zero mass representation there is no hole at all. These results are obtained with methods of analytic functions of several complex variables.     

From the subalgebras of the square to the discriminator

Presented by A. F. Pixley.     

From the neutrino to the edge of the universe

Two recent findings necessitate a closer look at the existing standard models of particle physics and cosmology. These are the discovery of neutrino oscillation, and hence a non-zero mass on the one hand and, on the other, observations of distant supernovae which indicate that contrary to popular belief, the universe would continue to expand for ever, possibly accelerating in the process. In this paper it is pointed out that relatively recent studies which indicate a stochastic, quantum vacuum underpinning and a fractal structure for space time, reconcile both of the recent observations, harmoniously.     

On the depth of the tangent cone and the growth of the Hilbert function

For a dimensional Cohen-Macaulay local ring we study the depth of the associated graded ring of with respect to an -primary ideal in terms of the Vallabrega-Valla conditions and the length of , where is a minimal reduction of and . As a corollary we generalize Sally's conjecture on the depth of the associated graded ring with respect to a maximal ideal to -primary ideals. We also study the growth of the Hilbert function.

     

On the Decomposition of the Riesz Operator and the Expansion of the Riesz Semigroup

For a Riesz operator T on a reflexive Banach space X with nonzero eigenvalues denote by E(λ_i; T) the eigen-projection corresponding to an eigenvalue λ_i. In this paper we will show that if the operator sequence is uniformly bounded, then the Riesz operator T can be decomposed into the sum of two operators T_p and T_r: T = T_p + T_r, where T_p is the weak limit of T_n and T_r is quasi-nilpotent. The result is used to obtain an expansion of a Riesz semigroup T(t) for t ≥ τ. As an application, we consider the solution of transport equation on a bounded convex body.