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1.
Semyon Alesker 《Geometric And Functional Analysis》2007,17(4):1321-1341
This is a non-technical survey of a recent theory of valuations on manifolds constructed in [A10], [A11], [AF] and [A12],
and actually a guide to this series of articles. We also review some recent related results obtained by a number of people.
Received: February 2006, Revision: June 2006, Accepted: June 2006 相似文献
2.
Semyon Rabinovich 《Accreditation and quality assurance》2007,12(11):603-608
The “Guide to the expression of uncertainty in measurement” (GUM) is an extremely important document. It unifies methods for
calculating measurement uncertainty and enables the consistent interpretation and comparison of measurement results, regardless
of who obtained these measurements and where they were obtained. Since the document was published in 1995, it has been realised
that its recommendations do not properly address an important class of measurements, namely, non-linear indirect measurements.
This drawback prompted the initiation of the revision of the GUM in the Working Group 1 of the Joint Committee for Guides
in Metrology, which commenced in October 2006. The upcoming revision of the GUM provides the metrological community with an
opportunity to improve this important document, in particular, to reflect developments in metrology that have occurred since
the first GUM publication in 1995. Thus, a discussion of the directions for this revision is important and timely. By identifying
several shortcomings of the GUM and proposing directions for its improvement, we hope this article will contribute to this
discussion.
Papers published in this section do not necessarily reflect the opinion of the Editors, the Editorial Board and the Publisher. 相似文献
3.
Richard Bellman Joseph Bentsman Semyon M. Meerkov 《Journal of Mathematical Analysis and Applications》1983,91(1):152-191
A nonlinear system with S-shape steady state characteristic is referred to as a system with Arrhenius dynamics. The negative slope part of the S-shape curve represents a set of unstable steady states. Using two examples of Arrhenius systems (catalytic reactor and continuous stirred tank reactor), it is shown that introduction of sufficiently fast oscillations in the parameters of the system generates a new Arrhenius system, the steady state characteristic of which has a smaller negative slope part. Results of analytical investigation as well as numerical simulation are presented. It is shown that vibrational stabilization of Arrhenius systems gives an increase in productivity of the plants. 相似文献
4.
Semyon Dyatlov 《Communications in Mathematical Physics》2011,306(1):119-163
We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain
meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole rotates
slowly enough, we show that these poles form a discrete subset of
\mathbb C{\mathbb C} . As an application we prove that the local energy of linear waves in that background decays exponentially once orthogonality
to the zero resonance is imposed. 相似文献
5.
Semyon Rafalson 《Journal of Approximation Theory》1996,87(3):328-337
Fourier–Jacobi series with nonnegative Fourier–Jacobi coefficients are considered. Under special restrictions on the Jacobi weight function, we establish in terms of Fourier–Jacobi coefficients a necessary and sufficient condition in order that the sum of the Fourier–Jacobi series should possess certain structural properties. 相似文献
6.
Semyon B. Yakubovich 《Journal of Approximation Theory》2004,131(2):175
We establish analogs of the Hausdorff–Young and Riesz–Kolmogorov inequalities and the norm estimates for the Kontorovich–Lebedev transformation and the corresponding convolution. These classical inequalities are related to the norms of the Fourier convolution and the Hilbert transform in Lp spaces, 1p∞. Boundedness properties of the Kontorovich–Lebedev transform and its convolution operator are investigated. In certain cases the least values of the norm constants are evaluated. Finally, it is conjectured that the norm of the Kontorovich–Lebedev operator is equal to . It confirms, for instance, by the known Plancherel-type theorem for this transform when p=2. 相似文献
7.
Let Lq (1q<∞) be the space of functions f measurable on I=[−1,1] and integrable to the power q, with normL∞ is the space of functions measurable on I with normWe denote by AC the set of all functions absolutely continuous on I. For nN, q[1,∞] we setWn,q={f:f(n−1)AC, f(n)Lq}.In this paper, we consider the problem of accuracy of constants A, B in the inequalities (1) || f(m)||qA|| f||p+B|| f(m+k+1)||r, mN, kW; p,q,r[1,∞], fWm+k+1,r. 相似文献
8.
Fluorescence experiments on (1-butyl-4-(1H-inden-1-ylidene)-1,4-dihydropyridine (BIDP) are reported in liquid and glassy solutions. The data indicate a fast decay in the fluid nonpolar, nonprotic solutions (decay times approximately 10(-12) s) and rapid but considerably slower decay in polar ones. In frozen solutions (polar and nonpolar), the fluorescence quantum yield is much higher (near 0.5 and around 0.1 in polar and nonpolar glasses, respectively). The rapid nonradiative transitions in fluid solutions are assigned to internal conversion in both solvent classes, as intersystem crossing is much slower and no net reaction is observed. These results are in agreement with predictions made for the closely related (in terms of electronic structure) but simpler molecule cyclopentadienyl-1,4-dihydropyridine (CPDHP) for which an S1/S0 conical intersection was recently proposed [Int. J. Quant. Chem. 2005, 102, 961]. The crossing of the two lowest singlet states is calculated to vanish in polar solvents such as methyl cyanide, leading to longer lifetime of S1 of CPDHP. As BIDP has a very similar electronic structure, the model predicts a corresponding change in this larger molecule. The strong fluorescence observed in the glassy environments is rationalized by the hindering of the internal torsion required to reach the geometry of the conical intersection. 相似文献
9.
In this paper we study a class of integral transformations with kernels consisting of Lommel's functions of a certain index.
Boundedness properties, Parseval type formula, inversion theorem are proved in Lebesgue spaces of integrable functions.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
10.