@article {
author = {Esmaeelzadeh, Fatemeh and Kamyabi-Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {1-12},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.61228.1109},
abstract = {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.},
keywords = {homogenous space,square integrable representation,wavelet transform, localization operator,Schatten $p$-class operator},
url = {http://wala.vru.ac.ir/article_29395.html},
eprint = {http://wala.vru.ac.ir/article_29395_ef5554cee1c1583c3bc9f17d5bb7d85c.pdf}
}
@article {
author = {Bakhtiari, Hassan and Mohebi, Hossein},
title = {Characterizing sub-topical functions},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {13-23},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.61257.1110},
abstract = {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.},
keywords = {sub-topical function,elementary function,polar function,plus-co-radiant set,abstract convexity},
url = {http://wala.vru.ac.ir/article_29393.html},
eprint = {http://wala.vru.ac.ir/article_29393_0ee808b7959b2874e9dabf0d4972296f.pdf}
}
@article {
author = {Mohammadhasani, Ahmad and Ilkhanizadeh Manesh, Asma},
title = {Linear preservers of Miranda-Thompson majorization on MM;N},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {25-32},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.61736.1113},
abstract = {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 $X$, $Y\in M_{m,n}$, $X$ 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 $M_{m,n}$.},
keywords = {Group-induced cone ordering,Linear preserver,Miranda-Thompson majorization},
url = {http://wala.vru.ac.ir/article_29392.html},
eprint = {http://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdf}
}
@article {
author = {Mousavi, Bibi Khadijeh and Askari Hemmat, Ataollah and Heydari, Mohammad Hossien},
title = {Wilson wavelets for solving nonlinear stochastic integral equations},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {33-48},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.59458.1106},
abstract = {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.},
keywords = {Wilson wavelets,Nonlinear stochastic It^o-Volterra integral equation,Stochastic operational matrix},
url = {http://wala.vru.ac.ir/article_29388.html},
eprint = {http://wala.vru.ac.ir/article_29388_cab6f5111dc82287318b83ae253c9278.pdf}
}
@article {
author = {Shiralasetti, Siddu and S, Kumbinarasaiah},
title = {Some results on Haar wavelets matrix through linear algebra},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {49-59},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2018.53432.1093},
abstract = {Can we characterize the wavelets through linear transformation? the answer for this question is certainly YES. In this paper we have characterized the Haar wavelet matrix by their linear transformation and proved some theorems on properties of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.},
keywords = {Linear transformation,Haar wavelets matrix,Eigenvalues and vectors},
url = {http://wala.vru.ac.ir/article_29498.html},
eprint = {http://wala.vru.ac.ir/article_29498_344e26e2a5021349b589b01c71d47239.pdf}
}
@article {
author = {Jamshidi, Mina and Fatehi, Farzad},
title = {Projection Inequalities and Their Linear Preservers},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {61-67},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.63024.1115},
abstract = {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 projections on $\mathbb{R}^k$ ($k\leq n$). 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.},
keywords = {projectional inequality,Linear preserver,inequality of vectors},
url = {http://wala.vru.ac.ir/article_29391.html},
eprint = {http://wala.vru.ac.ir/article_29391_0c3c85a7a89bc6f8ac60bfcc89b198b0.pdf}
}