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Frame multiresolution analysis and infinite trees in Banach spaces on locally compact abelian groups
S.S.Panday 《分析论及其应用》2004,20(3):231-241
We extend the concept of frame multiresolution analysis to a locally compact abelian group and use it to define certain weighted Banach spaces and the spaces of their antifunctionals. We define analysis and synthesis operators on these spaces and establish the continuity of their composition. Also, we prove a general result to characterize infinite trees in the above Banach spaces of antifunctionals. This paper paves the way for the study of corresponding problems associated with some other types of Banach spaceson locally compact abelian groups including modulation spaces. 相似文献
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Yinsheng Jiang Lin Tang 《分析论及其应用》2005,21(4):301-310
In this paper, the authors establish some characterizations of Herz-type Hardy spaces HKα,p q(G) and HKq,p q(G), where 1 < q <∞, Q(1 - 1/q) ≤α<∞, 0 < p <∞ and G denotes a graded homogeneous Lie group. 相似文献
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SYNTHESIS AND CHARACTERIZATION OF A NOVEL REACTIVE LADDER-LIKE POLYSILSESQUIOXANE WITH LATERAL BROMOPHENYL GROUPS 总被引:1,自引:0,他引:1
HuiLi Shu-yanYu Zhong-rongShen Zhong-xingZhang Qing-huaDuan Jin-qiangJiang PingXie 张榕本 《高分子科学》2004,(5):445-451
A novel soluble, reactive ladder-like polysilsesquioxane (L) with lateral bromophenyl groups was synthesized successfully by stepwise coupling polymerization (SCP) method including preaminolysis, hydrolysis and polycondensation steps. The monomer 3-trichlorosilylpropoxy-4-bromobenzene (M) was first prepared via hydrosilylation reaction catalyzed by dicyclopentadienylplatinum (Ⅱ) dichloride (Cp2PtCl2). The title polymer (L) was characterized by ^1H-NMR, ^29Si-NMR,FTIR, X-ray diffraction (XRD), DSC and vapor pressure osmometry (VPO). The experimental results indicate that the polymer (L) possesses a typical ladder-like structure. 相似文献
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采用紫外光电子能谱实验(PES)和量子化学方法对两种影响生态环境的亚硝基取代烷烃RONO[R=(CH3)2CH,(CH3)3CO]的电子结构进行了分析和讨论。实验得到两种化合物的第一电离能分别为10.37eV和10.12eV,结合从头算自洽场分子轨道(abinitioSCFMO)计算和外壳层格林函数法(OVGF)计算对PES进行了分析和指认。研究表明化合物中取代基效应对电离能存在明显的影响;外层格林函数法计算得到电离能与实验吻合很好;同时发现在外层格林函数计算结果中由于考虑相关能,得到的分子轨道存在能级顺序的交错。实验和理论计算结果进一步证实亚硝基取代烷烃是产生烷基氧自由基(RO^.)的很好的源物种,这为深入研究由它们产生的对环境破坏有着重要影响的相应自由基奠定了基础。 相似文献
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用固相反应法合成了NASICON固溶体Na~1~+~2Zr~2~-~xM~x(PO~4)~3(M=Y、Yb或In)。测定了晶胞参数随着取代量x的变化, 并从结构和结晶化学的角度进行解释。用三价离子Y^3^+、Yb^3^+、In^3^+或二价离子Mg^2^+作为结晶化学稳定剂取代Na~3Zr~2Si~2PO~1~2中的Zr^4^+离子能生成固溶体, 并把NASICON的高温三方相(空间群R3c)稳定在室温, 阻止了在150℃左右时单斜三方的相转变。总结了高温相稳定在低温的条件。 相似文献
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A series of polymers bearing azobenzene and carbazole groups for photorefractive purpose were prepared viapost-azo-coupling reaction.The successful reaction was identified by spectroscopic analysis and gel permeationchromatography.This approach is more facile compared with the direct polymerization of corresponding functionalmonomer.The polymers prepared have weight average molecular weight of higher than 1.5×10~4 and are easily soluble incommon organic solvents like chloroform and tetrahydrofuran,polymer films with high optical quality could be easilyfabricated through solution casting.Glass transition temperature (T_(?)) of the polymers ranges from 60℃to 182℃,dependingon the alkylene spacer length between the functional side group and the polymer backbone,and the polymers are relativelystable under 300℃. 相似文献
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