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51.
Let (M, g) be a pseudo-Riemannian manifold and
the space of densities of degree on M. Denote
the space of differential operators from
to
of order k and S
k
with = – the corresponding space of symbols. We construct (the unique) conformally invariant quantization map
. This result generalizes that of Duval and Ovsienko. 相似文献
52.
We develop a notion of an n-fold monoidal category and show that it corresponds in a precise way to the notion of an n-fold loop space. Specifically, the group completion of the nerve of such a category is an n-fold loop space, and free n-fold monoidal categories give rise to a finite simplicial operad of the same homotopy type as the classical little cubes operad used to parametrize the higher H-space structure of an n-fold loop space. We also show directly that this operad has the same homotopy type as the n-th Smith filtration of the Barratt-Eccles operad and the n-th filtration of Berger's complete graph operad. Moreover, this operad contains an equivalent preoperad which gives rise to Milgram's small model for width="56" alt="View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0001870803000653-si1.gif"> when n=2 and is very closely related to Milgram's model of width="62" alt="View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0001870803000653-si2.gif"> for n>2. 相似文献
53.
Guoen Hu 《Journal of Mathematical Analysis and Applications》2003,283(2):351-361
width="49" alt="View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X02004985-si1.gif"> boundedness is considered for the commutator of higher-dimensional Marcinkiewicz integral. Some conditions implying the width="49" alt="View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X02004985-si2.gif"> and the width="49" alt="View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X02004985-si3.gif"> boundedness for the commutator of the Marcinkiewicz integral are obtained. 相似文献
54.
JIANG Yanjie 《中国科学A辑(英文版)》2000,43(6):609-615
This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes Srp q θb(Rd) and Srp q θB(Rd) in Lq(Rd) (1≤q≤p<∞). The weak asymptotic behavior is established for the corresponding quantities. 相似文献
55.
采用鞍点变分方法和鞍点复数转动方法并考虑相对论修正和质量极化效应,计算了类铍离子内壳激发态1s2p3 3P0、3D0和内壳双激发态2s2p3 3D0的俄歇宽度、俄歇分支率和俄歇电子能量.同时还对1s22p2 3Pe态到1s2p3 3P0、3D0态(Z=4~10)的振子强度和辐射跃迁率进行了计算,计算结果与其他理论结果以及实验数据符合得很好. 相似文献
56.
57.
尝试用Woods-Saxon形式的光学势来分析K原子,通过拟合一系列K原子数据,得到了一套最佳光学势参数. 把得到的这套光学势和前人的其它几种光学势在接近核表面处作了比较,发现他们彼此符合得很好. 另外,与核子-核势相比较,对于虚部势,K-核的Woods-Saxon势与核子-核的很相似,但是对于实部,K-核势要更深更窄一些. 相似文献
58.
Results of an investigation of in situ measurements of laser‐beam intensity Is and Im transmitted through aqueous ammonium dihydrogen phosphate (ADP) solutions saturated at 30 °C and water, respectively, and temperature Ts of solution and Tm of water during feeding of antisolvent acetone at different rates RA, using an indigenously designed experimental setup, are presented and discussed. It was found that: (1) for the measurement of MSZW, defined as the maximum volume fraction of acetone content Δxmax in the solution, obtained from temperature measurements are more reliable than transmitted laser‐beam intensity measurements for solutions, (2) two minima ΔTmin1 and ΔTmin2 associated with endothermic reactions, separated by a maximum ΔTmax due to exothermic reactions appear in the plots of temperature difference ΔT = Ts−Tm against acetone feeding time t, and (3) in the ΔT(t) plots there are time intervals Δt of constant rates RT of increase in ΔT of aqueous ADP solutions, and these values of RT increase linearly with acetone feeding time rate RA. The experimental data on the observed dependence of MSZW on antisolvent feeding rate RA, the appearance of minima ΔTmin1 and ΔTmin2 and maximum ΔTmax and their dependence on RA, and the relationship between RT and RA are discussed from consideration of processes of nucleation and growth of crystallites. 相似文献
59.
For the optical polarimeter based on the structure of polarizer–Faraday modulator–analyzer, a novel method of optical rotation measurement was proposed by the waveform analysis of optical intensity signals. The calculation method of the optical rotation was provided by measuring the signal width of the waveform. Furthermore, the optical rotations of sugar solutions with different concentrations were measured by this method, and the fitting degree of obtained fitting curve is 0.9996. This showed that this method was effective. 相似文献
60.