Polynomials with graphs of maximum length

In this paper we find the pairs of functionsg, G (g<G) such that the maximum length of the graph of polynomials of given degree contained betweeng andG is attained on one of the two snakes generated by the functionsg andG. Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 61–69, January, 1999.     

lp和C0的一个特性

本文给出了具有无条件基的Ｂａｎａｃｈ空间同构于ｌｐ的充要条件，同时给出了具有次对称基的Ｂａｎａｃｈ空间同构于ｌｐ或Ｃ０的充要条件。     

IHKp函数及其上算子的刻划

本文借助于ＨＫｐ 空间上的积分，引进了ＩＨＫｐ 函数类的概念，讨论了ＩＨＫｐ函数类的刻划，以及其上算子和有界算子的刻划     

GG Functions and their Relations to General Hypergeometric Functions

In this Letter, we present a new approach to the notion of hypergeometric functions.     

Integral Representation of Invariant Functions

We characterize those positive functions which are invariant for a bounded kernel, and which have a Choquet-type integral representation. Such a representation relies on the wellknown Choquet-type integral representation of measures which are invariant for a kernel. We apply our results to convolution kernels with spread-out measures on second countable locally compact Abelian groups.     

关于Schr(o)der函数Borel方向的一个应用

本文应用Borel方向和充满圆的关系得到了方程F(z)=R(f(z))的一个充分必要条件,并给出它关于Schr(o)der方程f(sz)=R(f(z))的-个应用,这里s是一常数且|s|＞,R(w)是次数大于2的有理函数.     

On non-null distributions connected with testing that a real normal distribution is complex

The exact and the asymptotic non-null distribution of the maximal invariant corresponding to testing that the covariance matrix of a 2m-dimensional real normal distribution has complex structure is obtained.     

Integral transformations by the index of Lommel's function

In this paper we study a class of integral transformations with kernels consisting of Lommel's functions of a certain index. Boundedness properties, Parseval type formula, inversion theorem are proved in Lebesgue spaces of integrable functions. This revised version was published online in August 2006 with corrections to the Cover Date.     

α-Particle induced reactions on rhodium

Excitation functions for¹⁰³Rh (α,xn);x = 1–4 and¹⁰³Rh (α,αxn);x = 1–3 reactions were measured up to 50 MeV bombarding energy using stacked foil activation technique and high purity germanium (HPGe) γ-ray spectroscopy method. The experimental results were compared with calculations considering equilibrium as well as pre-equilibrium hybrid model of Blann (ALICE/90). It is found that the initial exciton configurationn ₀ = 4(4p0h) gives fairly good agreements for (α,xn) reactions. There seems to be indication of direct inelastic scattering effects in (α,αxn)-type of reactions.     

Local structure of the chemical bond in metal azides calculated in a basis set of Wannier functions

The local structure of the chemical bond in molecular ion crystals of alkaline and heavy metal azides (MN₃, M = Li, Tl, Ag) is discussed in terms of Wannier functions. Various schemes of localization are considered in relation to the peculiarities of electronic structure, and hybridization effects, leading to anion-cation complexes in compounds with covalent bonds, are analyzed.