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Observation of autosoliton propagation in a dispersion-managed optical transmission system controlled by in-line nonlinear fiber loop switches is reported for what is believed to be the first time. The system is based on a strong dispersion map with large amplifier spacing. Operation at transmission rates of 10 and 40 Gbits/s is demonstrated. 相似文献
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Planar chiral compounds, 1-hydroxymethyl-2-methylferrocene and new 3-(2-hydroxymethylferrocenyl)propanol, were synthesized
to be used as dendrimer cores. The ethers of these compounds, namely, 1-(benzyloxymethyl)-2-methylferrocene and 2-(benzyloxymethyl)-1-(benzyloxypropyl)ferrocene,
can be regarded as zero-generation Freche type dendrimers.
Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 7, pp. 1116–1119, July, 2006. 相似文献
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S. A. Vinogradov E. A. Gorin S. V. Khrushchev 《Journal of Mathematical Sciences》1983,22(6):1838-1839
There is recounted a simplification of the new proof of the Newman-Carleson theorem on interpolation sequences, recently discovered by P. Jones. 相似文献
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S. V. Khrushchev 《Journal of Mathematical Sciences》1980,14(2):1149-1154
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S. V. Khrushchev 《Journal of Mathematical Sciences》1986,34(6):2112-2133
We consider the mutual relations between the concepts of sets of uniqueness for analytic functions, the loss of entropy in nondetermined stationary linear filters, Szegö's theorem and the familiar condition of summability of the logarithm. The goal of the paper is to give the physical meaning of these mutual relations. Here we take the concept of linear stationary filter and loss of entropy in it as basic. In the first part of the paper the account is given for the case of discrete time, and in the second part we give the method of passing to continuous time. To this end we introduce the concept of stationary sampling system. This is a sequence of functions from L2(), which transforms any stationary Gaussian process
with continuous correlation function into a stationary Gaussian process with discrete time. Such systems can be described in terms of the Fourier transform. Laguerre systems where z is a fixed point in the upper half-plane, play a special role among all sampling systems. If z=i, then is a classical Laguerre function on the line up to a multiplicative constant. Laguerre sampling systems allow one to give the entropy meaning to the values of the harmonic extension to the upper half-plane of the logarithm of the spectral density of the processTranslated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 73, pp. 152–187, 1977. 相似文献
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A simply connected domain is called a slit disc if minus a finite number of closed radial slits not reaching the origin. A slit disc is called rational (rationally placed) if the lengths of all its circular arcs between neighboring slits (the arguments of the slits) are rational multiples of 2π. The conformal mapping of onto , (0)=0, ′(0)>0, extends to a continuous function on mapping it onto . A finite union E of closed non-intersecting arcs ek on is called rational if for every k, νE(ek) being the harmonic measures of ek at ∞ for the domain . A compact E is rational if and only if there is a rational slit disc such that . A compact E essentially supports a measure with periodic Verblunsky parameters if and only if for a rationally placed . For any tuple (α1,…,αg+1) of positive numbers with ∑kαk=1 there is a finite family of closed non-intersecting arcs ek on such that νE(ek)=αk. For any set and any >0 there is a rationally placed compact such that the Lebesgue measure |EE*| of the symmetric difference EE* is smaller than . 相似文献