Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures1122939510.22072/wala.2017.61228.1109ENFatemehEsmaeelzadehDepartment of Mathematics‎, ‎Bojnourd Branch‎, ‎Islamic Azad University‎, ‎Bojnourd‎, ‎IranRajab AliKamyabi-GolDepartment of Mathematics‎, ‎Center of Excellency in Analysis on Algebraic Structures(CEAAS)‎, ‎Ferdowsi University Of Mashhad‎, IranReihanehRaisi Tousi‎Ferdowsi University Of MashhadJournal Article20170327In the present paper, we introduce the two-wavelet localization operator for the square integrable representation of a homogeneous space with respect to a relatively invariant measure. We show that it is a bounded linear operator. We investigate some properties of the two-wavelet localization operator and show that it is a compact operator and is contained in a Schatten $p$-class.https://wala.vru.ac.ir/article_29395_ef5554cee1c1583c3bc9f17d5bb7d85c.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Characterizing sub-topical functions13232939310.22072/wala.2017.61257.1110ENHassanBakhtiariShahid Bahonar University of KermanHosseinMohebiShahid Bahonar University of KermanJournal Article20170329In this paper, we first give a characterization of sub-topical functions with respect to their lower level sets and epigraph. Next, by using two different classes of elementary functions, we present a characterization of sub-topical functions with respect to their polar functions, and investigate the relation between polar functions and support sets of this class of functions. Finally, we obtain more results on the polar of sub-topical functions.https://wala.vru.ac.ir/article_29393_0ee808b7959b2874e9dabf0d4972296f.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Linear preservers of Miranda-Thompson majorization on MM;N25322939210.22072/wala.2017.61736.1113ENAhmadMohammadhasaniDepartment of Mathematics, Sirjan University of technology, Sirjan, IranAsmaIlkhanizadeh ManeshVali-e-Asr University of RafsanjanJournal Article20170409Miranda-Thompson majorization is a group-induced cone ordering on $\mathbb{R}^{n}$ induced by the group of generalized permutation with determinants equal to 1. In this paper, we generalize Miranda-Thompson majorization on the matrices. For $X$, $Y\in <strong>M</strong>_{m,n}$, $X$ is said to be Miranda-Thompson majorized by $Y$ (denoted by $X\prec_{mt}Y$) if there exists some $D\in \rm{Conv(G)}$ such that $X=DY$. Also, we characterize linear preservers of this concept on $<strong>M</strong>_{m,n}$.https://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Wilson wavelets for solving nonlinear stochastic integral equations33482938810.22072/wala.2017.59458.1106ENBibi KhadijehMousaviDepartment of Pure Mathematica, Faculty of Mathematics and Computer, Shahid Bahonar University of KermanAtaollahAskari HemmatDepartment of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of KermanMohammad HossienHeydariShiraz University of Technology, Shiraz,Journal Article20170302A new computational method based on Wilson wavelets is proposed for solving a class of nonlinear stochastic It\^{o}-Volterra integral equations. To do this a new stochastic operational matrix of It\^{o} integration for Wilson wavelets is obtained. Block pulse functions (BPFs) and collocation method are used to generate a process to forming this matrix. Using these basis functions and their operational matrices of integration and stochastic integration, the problem under study is transformed to a system of nonlinear algebraic equations which can be simply solved to obtain an approximate solution for the main problem. Moreover, a new technique for computing nonlinear terms in such problems is presented. Furthermore, convergence of Wilson wavelets expansion is investigated. Several examples are presented to show the efficiency and accuracy of the proposed method.https://wala.vru.ac.ir/article_29388_cab6f5111dc82287318b83ae253c9278.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Some results on Haar wavelets matrix through linear algebra49592949810.22072/wala.2018.53432.1093ENSidduShiralasettiPavate nagarKumbinarasaiahSPavate nagarJournal Article20161124Can we characterize the wavelets through linear transformation? the answer<br /> for this question is certainly YES. In this paper we have characterized the Haar<br /> wavelet matrix by their linear transformation and proved some theorems on properties<br /> of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.https://wala.vru.ac.ir/article_29498_344e26e2a5021349b589b01c71d47239.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Projection Inequalities and Their Linear Preservers61672939110.22072/wala.2017.63024.1115ENMinaJamshidiGraduate University of Advanced Technology, Kerman, Iran.FarzadFatehiUniversity of Sussex, Brighton, United Kingdom.Journal Article20170429This paper introduces an inequality on vectors in $\mathbb{R}^n$ which compares vectors in $\mathbb{R}^n$ based on the $p$-norm of their<br /> projections on $\mathbb{R}^k$ ($k\leq n$).<br /> For $p>0$, we say $x$ is $d$-projectionally less than or equal to $y$ with respect to $p$-norm if $\sum_{i=1}^k\vert x_i\vert^p$ is less than or equal to $ \sum_{i=1}^k\vert y_i\vert^p$, for every $d\leq k\leq n$. For a relation $\sim$ on a set $X$, we say a map $f:X \rightarrow X$ is a preserver of that relation, if $x\sim y$ implies $f(x)\sim f(y)$, for every $x,y\in X$. All the linear maps that preserve $d$-projectional equality and inequality are characterized in this paper.https://wala.vru.ac.ir/article_29391_0c3c85a7a89bc6f8ac60bfcc89b198b0.pdf