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171.
陈永平 《辽宁大学学报(自然科学版)》1993,(4)
设f和g是D'内的广义函数,f_n(x)=f(x)r_n(x),当n→∞时,r_n(x)收敛于恒等函数。则中性卷积fg定义为序列{f_n*g}的极限,若极限h存在,即中性极限 N(f_n*g,φ)=(h,φ),(φ∈D)存在。在这篇文章中计算出了中性卷积e_-~(λx)e_+~(μx)和e_+~(μx)e_-~(λx)。利用这两个中性卷积又推出了一些其它的中性卷积。 相似文献
172.
A geometric approach to asymptotic expansions for large-deviation probabilities, developed for the Gaussian law by Breitung and Richter [J. Multivariate Anal.,58, 1–20 (1996)], will be extended in the present paper to the class of spherical measures by utilizing their common geometric properties. This approach consists of rewriting the probabilities under consideration as large parameter values of the Laplace transform of a suitably defined function, expanding this function in a power series, and then applying Watson’s lemma. A geometric representation of the Laplace transform allows one to combine the global and local properties of both the underlying measure and the large-deviation domain. A special new type of difficulty is to be dealt with because the so-called dominating points of the large-deviation domain degenerate asymptotically. As is shown in Richter and Schumacher (in print), the typical statistical applications of large-deviation theory lead to such situations. In the present paper, consideration is restricted to a certain two-dimensional domain of large-deviations having asymptotically degenerating dominating points. The key assumption is a parametrized expansion for the inverse $\bar g^{ - 1} $ of the negative logarithm of the density-generating function of the two-dimensional spherical law under consideration. 相似文献
173.
The unique solvability of the airfoil (Prandtl) integro-differential equation on the semi-axis + = [0, ) is proved in the Sobolev space W
p
1
and Bessel potential spaces H
p
s
under certain restrictions on p and s. 相似文献
174.
Shigehiko Kuratsubo 《Proceedings of the American Mathematical Society》1999,127(10):2987-2994
We prove the pointwise convergence of the Fourier series for radial functions in several variables, which in the case is the Dirichlet-Jordan theorem itself. In our proof the method for the case of the indicator function of the ball is very useful.
175.
Ann Cohen Brandwein Stefan Ralescu William E. Strawderman 《Annals of the Institute of Statistical Mathematics》1993,45(3):551-565
We consider estimation of a location vector for particular subclasses of spherically symmetric distributions in the presence of a known or unknown scale parameter. Specifically, for these spherically symmetric distributions we obtain slightly more general conditions and larger classes of estimators than Brandwein and Strawderman (1991,Ann. Statist.,19, 1639–1650) under which estimators of the formX +ag(X) dominateX for quadratic loss, concave functions of quadratic loss and general quadratic loss.Research supported by NSF grant DMS-88-22622 相似文献
176.
177.
178.
Bob Hoogenboom 《Arkiv f?r Matematik》1982,20(1):69-85
Proofs are given of two theorems of Berezin and Karpelevič, which as far as we know never have been proved correctly. By using
eigenfunctions of the Laplace-Beltrami operator it is shown that the spherical functions on a complex Grassmann manifold are
given by a determinant of certain hypergeometric functions. By application of this result, it is proved that a certain system
of operators, fow which explicit expressions are given, generates the algebra of radial parts of invariant differential operators. 相似文献
179.
A. V. Latyshev V. N. Popov A. A. Yushkanov 《Journal of Applied Mechanics and Technical Physics》2004,45(1):17-22
The slip velocity of a rarefied gas with inhomogeneous temperature and mass velocity on a solid spherical surface is calculated with the use of a twomoment boundary condition in the linear approximation in terms of the Knudsen number. The dependence of the slip velocity on accommodation coefficients of the two first moments of the distribution function is studied. 相似文献
180.
ZOUYi* HE Deping* & JIANG Jiaqiao Department of Material Science Engineering Southeast University Nanjing China 《中国科学B辑(英文版)》2004,47(5):407-413
The Ultra Light Metal Structure with variouskinds of pores (open, close) realizes the lightness andmultifunction of structural material. The functionsinclude lightness (ρ < 1), high specific strength, highenergy absorption, sound insulation, heat insulationand electromagnetism shield. It is one of the hotspotsin material research nowadays[1— . The requirements 6]of high speed movement and high technology make Alalloy foam, which has higher specific st… 相似文献