We give a characterization of monic polynomials with coefficients in the ring of integers of a Galois number field having all of their roots on the unit circle. Such a characterization is given in terms of finitely many sum of…

In this article we prove that it is possible to construct, using newest-vertex bisection, meshes that equidistribute the error in $H^1$-norm, whenever the function to approximate can be decomposed as a sum of a regular part plus a singular part…

We prove that for each $n\geq 4$ there is an analytic function
$F_n(x)$ satisfying an algebraic differential equation of degree
$n+1$ such that the logarithmic Mahler measure of the linear form
$\lf_n=x_1+\cdots + x_n$ can be essentially computed as…

In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transform and Littlewood-Paley g-functions) associated with Bessel operators, on the space BMO_o (R) that consists of the odd functions with…

We establish a categorical duality for the finitely generated Lindenbaum-Tarski algebras of propositional nilpotent minimum logic. The latter's conjunction is semantically interpreted by a left-continuous (but not continuous) triangular norm; implication is obtained through residuation. Our duality allows one to…

A numerical algorithm based on the Complex Variable Boundary Element Method (CVBEM) for plane incompress- ible potential flow around aerofoils and cascades is described. The method is based on the representation of the complex disturbance velocity by means of a…

The main result of this paper is a pointwise estimate for
the space time gradients of a temperature on a cylindrical
domain in terms of an iteration of two maximal operators. The
result is an extension to the parabolic setting…

Two-fluid models are central to the simulation of transport
processes in two-phase homogenized systems. Even though this physical
model has been widely accepted, an inherently non-hyperbolic and
non-conservative ill-posed problem arises from the mathematical point
of view. It has been…