We study the pseudo-differential operator $$\begin{aligned} T_a f\left( x\right) =\int _{\mathbb {R}^n}e^{ix\cdot \xi }a\left( x,\xi \right) \widehat{f}\left( \,\text {d}\xi , \end{aligned}$$where symbol a is in Hörmander class \(S^{m}_{\rho ,1}\) or more generally rough \(L^{\infty }S^{m}_{\rho }\) with \(m\in \mathbb {R}\) and \(\rho \in [0,1]\). It known that \(T_a\) bounded on \(L^1(\mathbb...

This paper is devoted to the study of asymptotic zero distribution of Laurent-type approximants under certain extremality conditions analogous to the condition of Grothmann 1], which can be traced back t o W alsh's theory of exact harmonic majorants 8, 9]. We a l s o p r o ve results on the convergence of ray sequences of Laurent-type approximants to a function analytic on the closure of a nite...

in this pa,per, we argue tha, t type inferencing incorrect ly implements a.pl)rolwiateness specifica.tions for typed [ea.ture structures, p romote a combina.tion of l;ype resolut ion and unfil l ing a,s a. correct a.nd ef'~ ticient Mternat ive , and consider the expressive l imits of this a.lterna.tive approa.ch. ![ 'hroughout, we use feature cooccurence restr ict ions as i l lus t ra t ion and...

BACKGROUND Growth differentiation factor (GDF)-15, a divergent member of the transforming growth factor beta super-family does appear to be up-regulated in response to experimental pressure overload and progression of heart failure (HF). HF frequently develops after myocardial infarction (MI), contributing to worse outcome. The aim of this study is to assess the correlation between GDF-15 level...

Some recent publications have raised the question of placing Ireland in a comparative perspective. Three such comparative frameworks are investigated in this paper: advanced capitalist countries, (West)European countries, and finally semi-peripheral European societies. Although not an advanced capitalist economy, Ireland displays the central institutional features of such societies. But on clos...

Abstract In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α ( e β ∣ u 2 − 1 ) \alpha \left({e}^{\beta | u{| }^{2}}...

In lazy functional languages, .l. is typically an element of every type. While this provides great flexibility, it also comes at a cost. In this paper we explore the consequences of allowing unpointed types in a lazy functional language like HaskeU. We use the type (and class) system to keep track of pointedness, and show the consequences for parametricity and for controlling evaluation order a...