Given a nondecreasing sequence $$\Lambda =\{\lambda _n>0\}$$ such that $$\displaystyle \lim _{n\rightarrow \infty } \lambda _n=\infty ,$$ we consider the $$\mathcal {N}_\Lambda :=\left\{ _ne^{i\theta _n},n\in \,\mathbb {N}\right\} $$ , where $$\theta _n$$ are independent random variables uniformly distributed on $$[0,2\pi ].$$ We discuss conditions under which N_\Lambda is zero set (a uniqness ...

Objective: The aim of this study was to compare the quality of images obtained with 3D T2-weighted sequence with the quality of conventional 2D T2-weighted images. Subjects and Methods: Thirty consecutively registered patients (average age, 55 year; age range 32-79 years) underwent imaging at 3.0 T with a 6-element body array coil. All imaging was performed with three T2-weighted images: 3D axi...

The (un)weighted stability for some matrices on a graph is one of essential hypotheses in time-frequency analysis and applied harmonic analysis. In the first part this paper, we show that localized matrix Beurling algebra, its weighted stabilities different exponents Muckenhoupt weights are equivalent to each other, reciprocal optimal lower bound exponent weight controlled by polynomial another...

In this paper, we have generalized the definition of vector space by considering the group as a canonical $m$-ary hypergroup, the field as a krasner $(m,n)$-hyperfield and considering the multiplication structure of a vector by a scalar as hyperstructure. Also we will be consider a normed $m$-ary hypervector space and introduce the concept of convergence of sequence on $m$-ary hypernormed space...

Abstract In this article, we consider an infinite family of normal surface singularities with integral homology sphere link which is related to the space monomial curves a plane semigroup. These appear as special fibers equisingular families whose generic are complex branch, and in proof monodromy conjecture for these curves. To investigate whether singularity sphere, one can use characterizati...

In this paper, a new approach for optimizing disparity candidates space is proposed for the solution of dense stereo matching problem. The main objectives of this approachare the reduction of average number of disparity candidates per pixel with low computational cost and high assurance of retaining the correct answer. These can be realized due to the effective use of multiple radial windows, i...

Let -----. For an analytic self-map ---  of --- , Let --- be the composition operator with composite map ---  so that ----. Let ---  be a bounded analytic function on --- . The weighted composition operator ---  is defined by --- . Suppose that ---  is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....

In this paper, we prove that the weighted BMO space $${\rm{BM}}{{\rm{O}}^p}(\omega ) = \left\{ {f \in L_{{\rm{loc}}}^1:\mathop {\sup }\limits_Q \left\| {{\chi _Q}} \right\|_{{L^p}(\omega )}^{ - 1}{{\left\| {(f {f_Q}){\omega ^{ 1}}{\chi \right\|}_{{L^p}(\omega )}} < \infty } \right\}$$ is independent of scale p ∈ (0, ∞) in sense norm when ω A1. Moreover, can replace Lp(ω) by Lp,∞(ω). As an appli...