localization of sources in patients with focal seizure has recently attracted many attentions. in the severe cases of focal seizure, there is a possibility of doing neurosurgery operation to remove the defected tissue. the prosperity of this heavy operation completely depends on the accuracy of source localization. to increase this accuracy, this paper presents a new weighted beamforming method...

In this paper we study eigenfunction expansions associated with the Schrodinger operator with a singular potential. In the paper it is obtained sufficient conditions for localization and uniformly convergence of the regularizations of the corresponding expansions

We prove that the the exponential moments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.

Let k be a field, R an associative k-algebra with identity, a finite set of derivations of R, and R 1 1 · · · n n an iterated differential operator k-algebra over R such that j i ∈ R 1 1 · · · i−1 i−1 1 ≤ i < j ≤ n. If R is Noetherian -hypercentral, then every prime ideal P of A is classically localizable. The aim of this article is to show that under some additional hypotheses on the -prime id...

In this paper, we consider a play-like hysteresis operator defined by an n order rate-independent differential system. We investigate the properties of the operator for n = 1 and n = 2. We show that the operator for n = 2 satisfies a one-step wiping out property. This result can be extended to show that the n order operator satisfies an (n − 1)-th step wiping out property. Thus the new family o...

We consider the continuous wavelet transform [Formula: see text] associated with the Weinstein operator. We introduce the notion of localization operators for [Formula: see text]. In particular, we prove the boundedness and compactness of localization operators associated with the continuous wavelet transform. Next, we analyze the concentration of [Formula: see text] on sets of finite measure. ...

Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by $$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$  where $gammain[0,1/2]$, $z=(z_1,hat{z})in B^n$ and $$Psi_{n,beta}(f)(z)=left(f(z_1),(frac{f(z_1)}{z_1})^betahat{z}right),$$ in which $betain[0,1]$, $f(z_1)neq 0$ a...