We study convolution algebras associated with Heckman–Opdam polynomials. For root systems of type BC we derive three continuous classes of positive convolution algebras (hypergroups) by interpolating the double coset convolution structures of compact Grassmannians U/K with fixed rank over the real, complex or quaternionic numbers. These convolution algebras are linked to explicit positive produ...

We study convolution algebras associated with HeckmanOpdam polynomials. For root systems of type BC we derive three continuous classes of positive convolution algebras (hypergroups) by interpolating the double coset convolution structures of compact Grassmannians U/K with fixed rank over the real, complex or quaternionic numbers. These convolution algebras are linked to explicit positive produc...

In this paper, firstly we will present basic properties of Hadamard matrix product and Dual matrices to built necessary background. Then define special real dual under product. Finally, some theorems regarding be given.

This paper continues the investigation in digital signal processing of spectral analysis on certain non-commutative nite groups|wreath product groups. We describe here the generalization of discrete cyclic convolution to convolution over these groups and show how it reduces to multiplication in the spectral domain. Finite group based convolution is deened in both the spatial and spectral domain...

In the present investigation, we consider an unified class of functions of complex order using Hadamard’s convolution. We obtain a necessary and sufficient condition for functions to be in these classes.

In this paper we consider the Hadamard product ? of regular functions using the concept of subordination. Let P (A,B) denote the class of regular functions subordinated to the linear fractional transformation (1 +Az)/(1−Bz), where A+B 6= 0 and |B| ≤ 1. By P (A,B) ? P (C,D) we denote the set {f ? g : f ∈ P (A,B), g ∈ P (C,D)} . It is known ([3], [7]), that for some complex numbers A,B,C,D there ...

In this paper, by using the generalized Hadamard product and the orthogonal decomposition of projection matrix, we propose a new general approach to construct mixed-level orthogonal arrays. As an application of the method, some new mixed-level orthogonal array’s of run sizes 36 and 72 are constructed. c © 2001 Elsevier Science B.V. All rights reserved.