ON THE SHEAF OF GENERALIZED FUNDAMENTAL GROUP AND COVERING SPACE

ＯＮ ＴＨＥ ＳＨＥＡＦ ＯＦ ＧＥＮＥＲＡＬＩＺＥＤ ＦＵＮＤＡＭＥＮＴＡＬ ＧＲＯＵＰ ＡＮＤ ＣＯＶＥＲＩＮＧ ＳＰＡＣＥ￥ＧＡＮＤＡＮＹＡＮＡｂｓｔｒａｃｔ：Ｔｈｅａｕｔｈｏｒｃｏｎｓｔｒｕｃｔｓｔｈｅｓｈｅａｆｏｆｇｅｎｅｒａｌｉｚｅｄｆｕ...     

三维 Anti-de Sitter空间中常平均曲率旋转曲面

本文主要构造三维 Anti-de Sitter空间中单参数族的常平均曲率旋转曲面.     

Banach序列空间Cesp（E）的范数粗性

本文讨论了Banach序列空间Cesp(E)的范数粗性,得到了其范数强粗、粗的几个结果。     

A generalization of Gram–Schmidt orthogonalization generating all Parseval frames

Given an arbitrary finite sequence of vectors in a finite-dimensional Hilbert space, we describe an algorithm, which computes a Parseval frame for the subspace generated by the input vectors while preserving redundancy exactly. We further investigate several of its properties. Finally, we apply the algorithm to several numerical examples.      

映入E(q,p)的复合算子

§ 1 .　Introduction　　LetD ={z:｜z｜ <1}betheunitdiskofcomplexplane,H(D)bethespaceofallana lysticfunctionsonD ,denoteLebesguemeasureonDbydm ,normalizedsothatm(D) =1.Fora ∈D ,σa(z) =a-z1- az istheMobiustransformationofDtoitselfandg(z,a) =log｜1- aza-z｜istheGreenfunctionofDwithsingularityata.Everyanalyticself mapφ :D →DoftheunitdiskinducesthroughcompositionalinearcompositionoperatorCφfromH(D)toitself.Itisawell knownconsequenceofLittlewood’ssubordinationprinciple( [1],[2 ])that…     

泛连通图的Faudree-Schelp定理和哈密尔顿连通图的Ore定理的注记

In this note more short proofs are given for Faudree-Schelp theorem and Ore theorem.     

THE SPECTRAL THEORY OF CONTRACTIONSON PONTRYAGIN SPACES Π_k(II)

ＴＨＥＳＰＥＣＴＲＡＬＴＨＥＯＲＹＯＦＣＯＮＴＲＡＣＴＩＯＮＳＯＮＰＯＮＴＲＹＡＧＩＮＳＰＡＣＥＳΠ_ｋ（ＩＩ）￥ＹＡＮＳＨＡＯＺＯＮＧ；ＣＨＥＮＸＩＡＯＭＡＮ；ＺＨＡＮＧＪＩＡＮＧＵＯ（ＩｎｓｔｉｔｕｔｅＯｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｄａｎＵｎｌ?..     

A weak law for normed weighted sums of random elements in rademacher type p banach spaces

For weighted sums Σ_{j = 1}ⁿa_jV_j of independent random elements {V_n, n ≥ 1} in real separable, Rademacher type p (1 ≤ p ≤ 2) Banach spaces, a general weak law of large numbers of the form (Σ_{j = 1}ⁿa_jV_j − v_n)/b_n →^p 0 is established, where {v_n, n ≥ 1} and b_n → ∞ are suitable sequences. It is assumed that {V_n, n ≥ 1} is stochastically dominated by a random element V, and the hypotheses involve both the behavior of the tail of the distribution of |V| and the growth behaviors of the constants {a_n, n ≥ 1} and {b_n, n ≥ 1}. No assumption is made concerning the existence of expected values or absolute moments of the {V_n, n >- 1}.     

全连续弱内向映象的不动点指数及多重不动点定理

本文通过研究与全连续弱内向映象相应的Banach空间中凸闭集上常微分方程解的性质，定义了有界凸闭集上局部Lip.全连续弱内向映象的不动点指数并利用它给出了一个弱内向映象的三解定理．     

Disintegration of Gaussian measures and average-case optimal algorithms

It is shown that a Gaussian measure in a given infinite-dimensional Banach space always admits an essentially unique Gaussian disintegration with respect to a given continuous linear operator. This covers a similar statement made earlier in [Lee and Wasilkowski, Approximation of linear functionals on a Banach space with a Gaussian measure, J. Complexity 2(1) (1986) 12–43.] for the case of finite-rank operators.