Fourier spectrum of the boundary values of functions in the complex Hardy Space H(C+) is characterized for p ∈ (0, 2). First, functions f in the L(R) can be decomposed into a sum g + h, where g and h are the non-tangential boundary limits of function in H(C+) and H(C−) in the sense of L(R), where H(C+) and H(C−) are the Hardy spaces in the upper and lower complex plane C+ and C−, respectively. ...

This paper examines the minimum cover of a digital disk by concentric digital circles. If we take the existing definition of the digital circle, then we show a strict lower and upper bound on the size of the cover. We also generate a min-cover which achieves this lower bound. Now one of the minor boundary conditions of generating a digital circle is redefined. For this new definition, an asympt...

the purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of sturm-liouville problem with equation of the form w??=(?2f(x)?r(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in c2(a,b which has a single zero (so called turning point) at point 0x=x and r(x) is a continuously differentiable function. ...

In this article, we study certain type of boundary behaviour positive solutions the heat equation on upper half-space $\R^{n+1}$. We prove that existence parabolic limit a solution at point in is equivalent to strong derivative measure point. Moreover, and are equal.

The A-polynomial was introduced in [3] (see also [5]), and we present an alternative definition here. Let M be a compact 3-manifold with boundary a torus T. Pick a basis λ,μ of π " T, which we shall refer to as the longitude and meridian. Consider the subset R U of the affine algebraic variety R ̄Hom(π " M, SL # #) having the property that ρ(λ) and ρ(μ) are upper triangular. This is an algebraic...

We investigate a class of singular m-point p-Laplacian boundary value problem on time scales with the sign changing nonlinearity. By using the well-known Schauder fixed point theorem and upper and lower solutions method, some new existence criteria for positive solutions of the boundary value problem are presented. These results are new even for the corresponding differential (T = R) and differ...

Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right-hand side is nondecreasing and the other when it is nonincreasing. 1. Introduction. In this paper, using the critical-point theory of Szulkin ...

This paper is concerned with approximation properties of linear combinations of scattered translates of the thin-plate spline radial basis function | · | log | · | where the translates are taken in the unit disc D in R. We show that the Lp approximation order for this kind of approximation is 2+1/p (for sufficiently smooth functions), which matches Johnson’s upper bound and, thus, gives the sat...

In this paper we study the identification of an event region X within a larger region Y , in which the sensors are distributed by a Poisson process of density λ to detect this event region, i.e., its boundary. The model of sensor is a 0-1 sensor that decides whether it lies in X or not, and which might be incorrect with probability p. It also collects information on the 0-1 values of the neighb...

frasnian - famennian boundary in the kal-e-sardar section (east of tabas, central iran) is investigated on the basis of conodonts. distribution of thirty-three species and subspecies in the stratigraphic column enables us to recognize a barren interval and five biozones; upper rhenana, upper part of upper rhenana - linguiformis, lower to middle triangularis, upper triangularis, lower crepida. b...