Quasi-asymptotic Behavior of Boehmians

A Brief Investigation of a Stieltjes Transform in a Class of Boehmians

Various integral transforms have been extended to various spaces of Boehmians. In this article, we discuss the Stieltjes transform in a class of Boehmians. The presented transform preserves many properties of the classical transform in the space of Boehmians.

A Sheaf of Boehmians

We show that Boehmians defined over open sets of R constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces. MSC: Primary 44A40, 46F99; Secondary 44A35, 18F20

Boehmians on Manifolds

The construction of Boehmians on amanifold requires a commutative convolution structure. We present such constructions in two specific cases: anN-dimensional torus and an N-dimensional sphere. Then we formulate conditions under which a construction of Boehmians on a manifold is possible.

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic Behavior of Weighted Sums of Weakly Negative Dependent Random Variables

Let be a sequence of weakly negative dependent (denoted by, WND) random variables with common distribution function F and let be other sequence of positive random variables independent of and for some and for all . In this paper, we study the asymptotic behavior of the tail probabilities of the maximum, weighted sums, randomly weighted sums and randomly indexed weighted sums of heavy...