Let 𝜎 be an 𝑙×𝑙 Hermitian matrix measure supported on the unit circle. In this contribution, we study some algebraic and analytic properties of matrix orthogonal polynomials associated with the Uvarov matrix transformation of 𝜎 defined by …
In this paper, we study the Riemann problem for a 2x2 nonstrictly hyperbolic system with linear damping. We introduce the special time-dependent viscosity to obtain approximate solutions. Therefore, we solve the Riemann problem (1.1)–(1.2) by …
Con indicadores relativos analizamos la dinámica de la producción y calidad científica de Colombia y México en el área de Ciencias Sociales (CS). Entre 2006 a 2017 estimamos la producción científica, la inversión en I+D, la cantidad de doctores …
This work is dedicated to study the pseudodifferential operator (𝐷𝛼𝑑1,𝑑2𝜑)(𝑥)=−∫ℚ𝑛𝑝−𝛼𝑑1,𝑑2(𝑦)[𝜑(𝑥+𝑦)−𝜑(𝑥)]𝑑𝑛𝑦, which can be seen as a generalization of Taibleson operator; here 𝛼𝑑1,𝑑2(𝑥)=max{‖𝑥‖𝑑1𝑝, ‖𝑥‖𝑑2𝑝}𝛼. We show that semi-linear Cauchy problem …
In this paper, we introduce weak (Σ,Δ)-compatible rings and study skew Poincaré–Birkhoff–Witt extensions over these rings. We characterize the weak notion of compatibility for several noncommutative rings appearing in noncommutative algebraic …
The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them. The fundamental solutions of these equations are transition …
In this article, we present necessary and sufficient conditions for a graded (trimmed) double Ore extension to be a graded (quasi-commutative) skew PBW extension. Using this fact, we prove that a graded skew PBW extension A=σ(R)⟨x1,x2⟩ of an …
In this paper we present a computational package developed for making computations involved in many homological applications of the Gr"obner theory of skew PBW extensions.
The space L(𝑋,𝑌) stands for the Banach space of all bounded linear operators from X to Y endowed with the operator norm. It is shown that 𝑐0(Γ) embeds into (𝑋,𝑌) if and only if 𝑙∞(Γ) embeds into (𝑋,𝑌) or 𝑐0(Γ) embeds into Y. As a consequence, we …
In this short note we present an elementary matrix-constructive algorithmic proof of the Quillen-Suslin theorem for Ore extensions $A:=K[x;\sigma, \delta]$, where $K$ is a division ring, $\sigma: K \to K$ is a division ring automorphism and $\sigma: …