Construction of multivariate compactly supported prewavelets in space and pre-Riesz bases in Sobolev spaces

We give a new constructive method for finding compactly supported prewavelets in L₂ spaces in the multivariate setting. This method works for any dimensional space. When this method is generalized to the Sobolev space setting, it produces a pre-Riesz basis for which can be useful for applications.     

含苯丙氨酸席夫碱结构姜黄素衍生物的量化模拟

采用量子化学密度泛函理论在B3LYP/6-311G**水平对标题化合物可能存在的A、B、C三类互变异构体进行全优化,采用AIM 2000程序包计算了分子内氢键及相应的成键临界点电荷密度和关键原子的电荷;在计算的基础上,分析了异构体几何构型、相对稳定性和电荷分布,讨论分子内质子转移的难易程度. 采用含时密度泛函理论在相同水平上对其进行了电子吸收光谱研究. 为模拟真实条件,计算还考虑了水溶液对电子结构和光谱性质的影响. 研究结果表明：烯胺式B为最稳定结构,三个异构体稳定性为BAC. A、B、C的λmax均来源于     

度量空间的序列覆盖边界紧映象(英文)

本文主要讨论了度量空间的序列覆盖边界紧映象.用序列商、序列覆盖或1-序列覆盖的纤维边界紧或有限来刻画具有sn网或弱基的空间.主要结果如下:(1)度量空间上的序列覆盖边界紧映射是1-序列覆盖映射;(2)空间X是度量空间的序列商边界紧映象当且仅当X是snf-第一可数空间;(3)空间X是度量空间的序列覆盖边界紧S映象当且仅当X有点可数sn-网.     

关于有限域上最优正规基的分布(英文)

设E/F_q为q元有限域F_q的扩域.如果α∈E生成E/F_q的一个正规基,则称α∈E为E的一个正规基生成元.本文证明了:对于任何中间域K,E的正规元被E到K的迹映射均匀的映到K的正规元.另一方面,给出了所有这样的中间域K:K中的正规元在E到K的迹映射下的完全原像中的元均为E中的正规元.     

Chebyshev Spaces and Bernstein Bases

We characterize extended Chebyshev spaces by the fact that any Hermite interpolation problem involving at most two different points has a unique solution. This enables us to prove that, in a given space, Bernstein bases exist if and only if the space obtained by differentiation is an extended Chebyshev space.     

Selective Hydroxy Group Protection of Gallic Acid

An efficient procedure allowing selective differentiation of the 4-hydroxy group of methyl gallate was reported.     

Thermal Behaviour of Complexes of Antipyrine Derivatives

Parent and mixed ligand complexes of cobalt and copper with antipyrine derivatives of 1,2-ethanediamine or piperazine and with 2-aminobenzothiazole (TAB) were synthesized and their thermal behaviour was investigated. The complexes contain N,N′-bis(4-antipyrylmethyl)-piperazine (BAMP) or N,N′-tetra(4-antipyrylmethyl)-1,2-diaminoethane (TAMEN) or/and TAB as ligand, and Cl⁻, ClO₄ ⁻ or SCN⁻. The complexes decompose with the evolution of heat. The decomposition route depends on the presence of ClO₄ ⁻. If the ClO₄ ⁻ is not coordinated, it oxidizes the TAB and BAMP or TAMEN and the decomposition is explosive. This revised version was published online in August 2006 with corrections to the Cover Date.