This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

In this paper, we construct the Heisenberg–Virasoro algebra in framework of R(p,q)-deformed quantum algebras. Moreover, R(p,q)-Heisenberg–Witt n-algebras is also investigated. Furthermore, generalize notion elliptic Hermitian matrix models. We use constraints to evaluate R(p,q)-differential operators Virasoro and it higher order differential operators. Particular cases corresponding algebras ex...

A triangular quantum deformation of osp(2/1) from the classical r-matrix including an odd generator is presented with its full Hopf algebra structure. The deformation maps, twisting element and tensor operators are considered for the deformed osp(2/1). It is also shown that its subalgebra generated by the Borel subalgebra is self-dual.

We give sufficient conditions that allow contractible (resp., reflexive amenable) Banach algebras to be finite-dimensional and semisimple algebras. Moreover, we show that any contractible (resp., reflexive amenable) Banach algebra in which every maximal left ideal has a Banach space complement is indeed a direct sum of finitely many full matrix algebras. Finally, we characterize Hermitian ∗-alg...

We compute the full expression of the second Poisson bracket structure for N = 2 and N = 3 site rational classical Calogero–Moser model. We propose an r-matrix formulation for N = 2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.

We realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fräıssé limits of suitable classes of structures. Moreover by means of Fräıssé theory we provide new examples of AF algebras with strong homogeneity properties. As a consequence of our analysis we deduce Ramsey-theoretic results about the class of full-matrix algebras.

in this paper, we present a full newton step feasible interior-pointmethod for circular cone optimization by using euclidean jordanalgebra. the search direction is based on the nesterov-todd scalingscheme, and only full-newton step is used at each iteration.furthermore, we derive the iteration bound that coincides with thecurrently best known iteration bound for small-update methods.

Matrix functions are used in many areas of linear algebra and arise in numerical applications in science and engineering. In this paper, we introduce an effective approach for determining matrix function f(A)=g(q(A)) of a square matrix A, where q is a polynomial function from a degree of m and also function g can be a transcendental function. Computing a matrix function f(A) will be time- consu...