排序方式: 共有34条查询结果,搜索用时 15 毫秒
31.
刘名生 《纯粹数学与应用数学》1997,13(2):59-63
引入了强星像函数类的一个子类S(α,β,ρ,σ,A,B),讨论了它的从属关系、包含关系、星像阶数和强星像阶数以及积分表示定理等,所得结果推广了一些作者的相关工作。 相似文献
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Simeon M Berman 《Journal of multivariate analysis》1982,12(3):317-334
Let X and Y be random vectors of the same dimension such that Y has a normal distribution with mean vector O and covariance matrix R. Let g(x), x≥0, be a bounded nonincreasing function. X is said to be g-subordinate to Y if |Eeiu′X| ≤ g(u′Ru) for all real vectors u of the same dimension as X. This is used to define the g-subordination of a real stochastic process X(t), 0 ≤ t ≤ 1, to a Gaussian process Y(t), 0 ≤ t ≤ 1. It is shown that the basic local time properties of a given Gaussian process are shared by all the processes that age g-subordinate to it. It is shown in particular that certain random series, including some random Fourier series, are g-subordinate to Gaussian processes, and so have their local time properties. 相似文献
34.
We study the spectral heat content for a class of open sets with fractal boundaries determined by similitudes in , , with respect to subordinate killed Brownian motions via -stable subordinators and establish the asymptotic behavior of the spectral heat content as for the full range of . Our main theorems show that these asymptotic behaviors depend on whether the sequence of logarithms of the coefficients of the similitudes is arithmetic when , where is the interior Minkowski dimension of the boundary of the open set. The main tools for proving the theorems are the previous results on the spectral heat content for Brownian motions and the renewal theorem. 相似文献