We study a lattice point-counting problem for spheres arising from the Heisenberg groups. In particular, we prove an upper bound on number of points and near large dilates unit generated by anisotropic norms $$\Vert (z,t)\Vert _\alpha = ( \left| z\right| ^\alpha + t\right| ^{\alpha /2})^{1/\alpha }$$ $$\alpha \ge 2$$ . As first step, reduce our counting to one bounding energy integral. The prim...

We consider a fractal refinement of Carleson's problem for pointwise convergence solutions to the periodic Schr\"odinger equation their initial datum. For $\alpha \in (0,d]$ and \[ s < \frac{d}{2(d+1)} (d + 1 - \alpha), \] we find function in $H^s(\mathbb{T}^d)$ whose corresponding solution diverges limit $t \to 0$ on set with strictly positive $\alpha$-Hausdorff measure. conjecture this regula...

5650 | P a g e 2 8 F e b r u a r y , 2 0 1 5 Eigen Faces and Principle Component Analysis for Face Recognition Systems: A Comparative Study Abdelfatah Aref Tamimi, Omaima N. A. AL-Allaf, Mohammad A. Alia 1 Associate Professor, Dept. of CS, Faculty of Sciences & IT, Al-Zaytoonah University of Jordan, Amman, Jordan, email: [email protected] 2 Assistant Professor, Dept. of Basic Sciences, Facult...

BACKGROUND Although alpha-adrenergic receptors are present in both normal and failing human left ventricular myocardium and mediate a positive inotropic effect in several other species, it is not known whether stimulation of myocardial alpha-adrenergic receptors exerts a positive inotropic effect or contributes to basal contractile state in vivo in humans. METHODS AND RESULTS We studied 15 pa...

In this paper we prove that every n-Jordan homomorphis varphi:mathcal {A} longrightarrowmathcal {B} from unital Banach algebras mathcal {A} into varphi -commutative Banach algebra mathcal {B} satisfiying the condition varphi (x^2)=0 Longrightarrow varphi (x)=0, xin mathcal {A}, is an n-homomorphism. In this paper we prove that every n-Jordan homomorphism varphi:mathcal {A} longrightarrowmathcal...

Several modern approaches to separation of concerns support identification and encapsulation of important concerns that could not traditionally be encapsulated. They generally require that the software be written up front with the appropriate modularization. However, as software evolves, the need arises for new concerns, often of new kinds. This position paper motivates the need for on-demand r...

The static and dynamic properties of the isotropic XY-model (s = 1/2) on the inhomogeneous periodic chain, composed of N segments with n different exchange interactions and magnetic moments, in a transverse field h are obtained exactly at arbitrary temperatures. The properties are determined by introducing the generalized Jordan-Wigner transformation and by reducing the problem to a diagonaliza...

Abstract In this article, we consider the following Choquard system in R N ≥ 1 {{\mathbb{R}}}^{N}N\ge 1 xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mtable displayst...