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1.
We prove that the generalized random walks associated to a root system R in and a nonnegative multiplicity function k defined on R, converge in distribution (if suitably normalized) to a Markov process with càdlàg trajectories and infinitesimal generator a differential-difference operator on which generalizes the usual Laplacian. To cite this article: L. Gallardo, L. Godefroy, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
2.
3.
Gilles Godefroy 《Israel Journal of Mathematics》1983,44(1):61-74
We show that ifE is a non-reflexive Banach lattice, there exists for everyn a dual of finite even order ofE which contins isometicallyl
n
/l
. We show that itE is a Banach lattice which is isometric to the dual of a Banach spaceX, then the order intervals are σ (E, X)-compact. We prove then that under various conditions, a Banach lattice which is a dual as a Banach space, is a dual as a
Banach lattice. In particular, this is true when the predual ofE is unique.
相似文献
4.
Overtone spectrum of o, m and p-nitrobenzaldehydes and p-chlorobenzaldehyde has been studied in 2000–12000 cm−1 region. Vibrational frequencies and anharmonicity constants for aryl as well as alkyl CH stretch vibrations have been determined.
We have also determined the internuclear distances for the aryl CH bond in the different molecules. The small variation observed
in these distances is an indication of the substitution effect.
It is observed that in the case of p-disubstituted benzens, the shift in aryl CH bond is proportional to sum of the Hammet σ of the substituents. However in the
case of o-disubstituted benzenes it is only 80% of the para-substituted shift. 相似文献
5.
6.
Using strong subdifferentiability of convex functionals, we give a new sufficient condition for proximinality of closed subspaces of finite codimension in a Banach space. We apply this result to the Banach space K(l2) of compact operators on l2 and we show that a finite codimensional subspace Y of K(l2) is strongly proximinal if and only if every linear form which vanishes on Y attains its norm. 相似文献
7.
8.
E. Claudon D. Mendelejeff F. Rasiski M. J. Lazarus und L. Godefroy 《Fresenius' Journal of Analytical Chemistry》1886,25(1):375-377
Ohne Zusammenfassung 相似文献
9.
10.
Let Δk be the Dunkl generalized Laplacian associated to a root system R of and a non-negative function k defined on R and invariant by the Weyl group. In this Note, we show that this differential-difference operator on satisfies the Liouville property, then we solve the Poisson equation Δku=?f by using a generalized Fourier analysis method. To cite this article: L. Gallardo, L. Godefroy, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献