ORIGINAL_ARTICLE
Classical Wavelet Transforms over Finite Fields
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as a finite coherent sum of classical wavelet coefficients.
http://jlta.iauctb.ac.ir/article_519629_367664d14c6c6e9ed672f0eb86741623.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
241
257
Finite field
classical wavelet group
classical wavelet transforms
dilation operators
A.
Ghaani Farashahi
arash.ghaani.farashahi@univie.ac.at
true
1
University of Vienna
University of Vienna
University of Vienna
LEAD_AUTHOR
ORIGINAL_ARTICLE
Duals and approximate duals of g-frames in Hilbert spaces
In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.
http://jlta.iauctb.ac.ir/article_519743_c1a1ab8a975c32f864c271d4d21132b4.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
259
265
Frame
g-frame
duality
approximate duality
M
Mirzaee Azandaryani
morteza_ma62@yahoo.com
true
1
Department of Mathematics, Faculty of Science,
University of Qom, Qom, Iran
Department of Mathematics, Faculty of Science,
University of Qom, Qom, Iran
Department of Mathematics, Faculty of Science,
University of Qom, Qom, Iran
LEAD_AUTHOR
A
Khosravi
khosravi_amir@yahoo.com
true
2
Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Generalized superconnectedness
A. Csaszar introduced and extensively studied the notionof generalized open sets. Following Csazar, we introduce a new notionsuperconnected. The main purpose of this paper is to study generalizedsuperconnected spaces. Various characterizations of generalized super-connected spaces and preservation theorems are discussed.
http://jlta.iauctb.ac.ir/article_519888_bf48e0ba05bf08f2f815c3f0683cd60a.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
267
273
Generalized topology
connected
Superconnected
R
Messaoud
rimessaoud@yahoo.fr
true
1
university of Gafsa Tunisia
university of Gafsa Tunisia
university of Gafsa Tunisia
LEAD_AUTHOR
E
Bouassida
basdourimed@yahoo.fr
true
2
topoolgy
topoolgy
topoolgy
AUTHOR
B
Ghanmi
basdourimd@yahoo.fr
true
3
Topology
Topology
Topology
AUTHOR
A
missaoui
rimoud@yahoo.fr
true
4
Topology
Topology
Topology
AUTHOR
ORIGINAL_ARTICLE
Quotient Arens regularity of L1(G)
Let $mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $mathcal{A'}$.In this paper we study the quotient Arens regularity of $mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular with respect to certain introverted subspace $E$ of $L^infty(G)$.Some related result are given as well.
http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
275
281
Arens product
Quotient Arens regular
Introverted subspace
Weakly almost periodic
A
Zivari-Kazempour
zivari6526@gmail.com
true
1
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some results on higher numerical ranges and radii of quaternion matrices
Let $n$ and $k$ be two positive integers, $kleq n$ and $A$ be an $n-$square quaternion matrix. In this paper, some results on the $k-$numerical range of $A$ are investigated. Moreover, the notions of $k$-numerical radius, right $k$-spectral radius and $k$-norm of $A$ are introduced, and some of their algebraic properties are studied.
http://jlta.iauctb.ac.ir/article_521627_0cf027f7acaa74c10315e711d0443cc6.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
283
288
$k-$numerical radius
right $k$-spectral radius
$k$-norm
quaternion matrices
G
Aghamollaei
aghamollaei@uk.ac.ir
true
1
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
LEAD_AUTHOR
N
Haj Aboutalebi
nargesaboutalebi@yahoo.ca
true
2
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
AUTHOR
ORIGINAL_ARTICLE
A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
In this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radialbasis functions (RBFs) constructed on a set of disordered data. The method is a meshless method, because it is independent of the geometry of the domain and it does not require any background interpolation or approximation cells. The error analysisof the method is provided. Numerical results are presented, which confirm the theoretical prediction of the convergence behavior of the proposed method.
http://jlta.iauctb.ac.ir/article_521628_b60549988a75129d851e71138c8c530b.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
289
304
Mixed Volterra-Fredholm integral equations
Collocation method
Radial basis functions
Meshless method
Numerical treatment
M
Nili Ahmadabadi
mneely59@hotmail.com
true
1
LEAD_AUTHOR
H
Laeli Dastjerdi
hojatld@gmail.com
true
2
Education ministry
Education ministry
Education ministry
AUTHOR
ORIGINAL_ARTICLE
A new Approximation to the solution of the linear matrix equation AXB = C
It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C. Furthermore, the conditions will be explored to check the convergence of the homotopy series. Numerical examples are also adapted to illustrate the properties of the modified method.
http://jlta.iauctb.ac.ir/article_522038_4c84e2abfea87f3b1a04b081718f834b.pdf
2015-12-01T11:23:20
2017-09-20T11:23:20
305
315
Matrix equation
Homotopy perturbation method
Diagonally dominant matrix
Convergence, Iterative method
A
Sadeghi
drsadeghi.iau@gmail.com
true
1
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran.
LEAD_AUTHOR