2019-12-10T09:03:51Z
http://wala.vru.ac.ir/?_action=export&rf=summon&issue=4780
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2017
4
2
On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures
Fatemeh
Esmaeelzadeh
Rajab Ali
Kamyabi-Gol
Reihaneh
Raisi Tousi
In 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.
homogenous space
square integrable representation
wavelet transform
localization operator
Schatten $p$-class operator
2017
12
01
1
12
http://wala.vru.ac.ir/article_29395_ef5554cee1c1583c3bc9f17d5bb7d85c.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2017
4
2
Characterizing sub-topical functions
Hassan
Bakhtiari
Hossein
Mohebi
In 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.
sub-topical function
elementary function
polar function
plus-co-radiant set
abstract convexity
2017
12
01
13
23
http://wala.vru.ac.ir/article_29393_0ee808b7959b2874e9dabf0d4972296f.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2017
4
2
Linear preservers of Miranda-Thompson majorization on MM;N
Ahmad
Mohammadhasani
Asma
Ilkhanizadeh Manesh
Miranda-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 $X$, $Yin <strong>M</strong>_{m,n}$, $X$ is said to be Miranda-Thompson majorized by $Y$ (denoted by $Xprec_{mt}Y$) if there exists some $Din rm{Conv(G)}$ such that $X=DY$. Also, we characterize linear preservers of this concept on $<strong>M</strong>_{m,n}$.
Group-induced cone ordering
Linear preserver
Miranda-Thompson majorization
2017
12
01
25
32
http://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2017
4
2
Wilson wavelets for solving nonlinear stochastic integral equations
Bibi Khadijeh
Mousavi
Ataollah
Askari Hemmat
Mohammad Hossien
Heydari
A 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.
Wilson wavelets
Nonlinear stochastic It^o-Volterra integral equation
Stochastic operational matrix
2017
12
01
33
48
http://wala.vru.ac.ir/article_29388_cab6f5111dc82287318b83ae253c9278.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2017
4
2
Some results on Haar wavelets matrix through linear algebra
Siddu
Shiralasetti
Kumbinarasaiah
S
Can 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.
Linear transformation
Haar wavelets matrix
Eigenvalues and vectors
2017
12
01
49
59
http://wala.vru.ac.ir/article_29498_344e26e2a5021349b589b01c71d47239.pdf
Wavelet and Linear Algebra
WALA
2383-1936
2383-1936
2017
4
2
Projection Inequalities and Their Linear Preservers
Mina
Jamshidi
Farzad
Fatehi
This 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 $mathbb{R}^k$ ($kleq n$).<br /> For $p>0$, we say $x$ is $d$-projectionally less than or equal to $y$ with respect to $p$-norm if $sum_{i=1}^kvert x_ivert^p$ is less than or equal to $ sum_{i=1}^kvert y_ivert^p$, for every $dleq kleq n$. For a relation $sim$ on a set $X$, we say a map $f:X rightarrow X$ is a preserver of that relation, if $xsim y$ implies $f(x)sim f(y)$, for every $x,yin X$. All the linear maps that preserve $d$-projectional equality and inequality are characterized in this paper.
projectional inequality
Linear preserver
inequality of vectors
2017
12
01
61
67
http://wala.vru.ac.ir/article_29391_0c3c85a7a89bc6f8ac60bfcc89b198b0.pdf