In this paper we develop and analyze a multilevel weighted reduced basis method for solving stochastic optimal control problems constrained by Stokes equations. Existence and uniqueness of the stochastic optimal solution is proved by establishing the equivalence between the constrained optimization problem and a stochastic saddle point problem. Analytic regularity of the optimal solution in the...

Abstract To improve the accuracy of track association between radar and infrared sensors, a multi-source distributed method based on spatial geometry is proposed. This uses rough fine to judge correlation tracks. Rough calculates statistical distance through weighted norm redundant information difference tracks determines threshold by hypothesis testing obtain multiple successfully correlated w...

The Haft Saravan area is located in 90 km SE Arak in the central Iran. This area is a part of Malyer-Isfahan metallogenic belt. The article's objective is determining the most suitable method for identifying mineralized zones using original singularity and weighted singularity methods in three-dimensional space. In weighted singularity method, mineralized zones have a greater volume relative to...

Let D be a bounded, convex domain in Cn, and suppose that φ :D→D is holomorphic. Assume that ψ : D → C is analytic, bounded away from zero toward the boundary of D, and not identically zero on the fixed point set of D. Suppose also that the weighted composition operator Wψ,φ given by Wψ,φ( f )= ψ( f ◦φ) is compact on a holomorphic, functional Hilbert space (containing the polynomial functions d...

The analytic self map of the unit disk D, φ is said to induce a composition operator Cφ from the Banach space X to the Banach Space Y if Cφ(f) = f ◦ φ ∈ Y for all f ∈ X . For z ∈ D and α > 0 the families of weighted Cauchy transforms Fα are defined by f(z) = ∫ T K x (z)dμ(x) where μ(x) is complex Borel measures, x belongs to the unit circle T and the kernel Kx(z) = (1 − xz) −1 . In this paper w...

This paper contains new measures to describe the transfer function sensitivity of state-space systems with respect to value and parameter perturbations. These measures are related to the newly defined generalized Gramian matrices. The value respecting the parameter variations contains the sensitivity at discrete frequency points, pole and zero sensitivities and the integral sensitivity as speci...

In this paper we study weighted Hardy-Sobolev spaces of vector valued functions analytic on double-napped cones of the complex plane. We introduce these spaces as a tool for complex scaling of linear ordinary differential equations with dilation analytic unbounded operator coefficients. As examples we consider boundary value problems in cylindrical domains and domains with quasicylindrical ends.

Let φ be an analytic map of unit disk D into itself, consider the composition operator Cφ defined by Cφ(f) = f◦φ whenever f is analytic on D. In this paper, we discuss necessary and sufficient conditions under which a composition operator on a large class of weighted Hardy spaces is a compact.