Various methods of estimating eeective properties of composite materials require geometrical or topological information contained in the statistical three-point correlation functions. If these three-point correlation functions are measured using digital image processing techniques, the values are computed for a discrete set of admissible triangular arguments corresponding to triangles whose ver...

We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted $L^2$-space and sampling theorems entire functions Fock space dual uniform interpolating sequences. As consequence we obtain description of signal subspaces spanned by Hermite means Gabor frames.

In this paper, we present results of the existence a linear continuous right inverse operator for representation analytic functions in bounded convex domain complex plane by series quasi-polynomials and exponentials. We also closely related on A. F. Leontiev interpolating function and, more generally, functional corresponding Pommiez operator. examine cyclic vectors closed invariant subspaces w...

We study the behavior of heavy quark bound states in moving plasmas that are dual to theories with generic non-trivial renormalization group flows interpolating between an AdS geometry ultraviolet and infrared fixed points broken symmetries. investigate analytically observables associated state find their scaling exponents respect Lorentz factor for ultrarelativistic motion. Despite having asym...

We construct interpolation operators for functions taking values in a symmetric space—a smooth manifold with an inversion symmetry about every point. Key to our construction is the observation that every symmetric space can be realized as a homogeneous space whose cosets have canonical representatives by virtue of the generalized polar decomposition—a generalization of the well-known factorizat...

To describe non-Debye relaxation phenomena observed in dielectric materials, the Cole–Cole (CC) model frequency domain and Kohlrausch–Williams–Watts (KWW) time were introduced physics of dielectrics. In this paper, we propose a new with two parameters besides by expressing function terms Mittag–Leffler functions. The proposed represents group shows transition between CC KWW models. properties d...

A generalized recursive interpolation technique for a set of linear functionals over a set of general univariate basis functions has been previously developed. This paper extends these results to restricted multivariate interpolation over a set of general multivariate basis functions. When the data array is a suitable configuration (e.g., an ^-dimensional simplex), minimal degree multivariate i...

The most essential ingredient of interpolation is its basis function. We have shown in previous papers that this basis need not be necessarily interpolating to achieve good results. On the contrary, several recent studies have confirmed that non-interpolating bases, such as B-splines and O-moms, perform best. This opens up a much wider choice of basis functions. In this paper, we give to the de...