A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions
Arash
Ghaani Farashahi
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Vienna, Austria.
author
Mozhgan
Mohammad-Pour
Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
author
text
article
2014
eng
The article introduces cyclic dilation groups and finite affine groups for prime integers, and as an application of this theory it presents a unified group theoretical approach for the cyclic wavelet transform (CWT) of prime dimensional periodic signals.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
1
17
https://scma.maragheh.ac.ir/article_11272_6b84bf3354fa5ed03323941d3c72b4b1.pdf
On X ̃-frames and conjugate systems in Banach spaces
Migdad
Ismailov
Department of Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
author
Afet
Jabrailova
Department of Functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
author
text
article
2014
eng
The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $\tilde{X}$-frame and a system conjugate to $\tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $\tilde{X}$-frame having a conjugate system is studied.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
19
29
https://scma.maragheh.ac.ir/article_11273_0356133177a286fc7ca41146dd50c9bf.pdf
On a sequence related to the coprime integers
Mehdi
Hassani
Department of Mathematics, University of Zanjan University Blvd., 45371-38791, Zanjan.
author
text
article
2014
eng
The asymptotic behaviour of the sequence with general term $P_n=(\varphi(1)+\varphi(2)+\cdots+\varphi(n))/(1+2+\cdots+n)$, is studied which appears in the studying of coprime integers, and an explicit bound for the difference $P_n-6/\pi^2$ is found.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
31
37
https://scma.maragheh.ac.ir/article_11274_868c353aa19d64f70c97af5928061b30.pdf
A Class of compact operators on homogeneous spaces
Fatemah
Esmaeelzadeh
Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran.
author
Rajab Ali
Kamyabi Gol
Department of Mathematics, Center of Excellency in Analysis on Algebraic
Structures(CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad
91775, Iran.
author
Reihaneh
Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159,
Mashhad 91775, Iran.
author
text
article
2014
eng
Let $\varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and $H$ be a compact subgroup of $G$. For an admissible wavelet $\zeta$ for $\varpi$ and $\psi \in L^p(G/H),\ \ 1\leq p <\infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
39
45
https://scma.maragheh.ac.ir/article_11275_2af10d7d0a659c8c7a3a2841a2740d7d.pdf
Nonstandard finite difference schemes for differential equations
Mohammad
Mehdizadeh Khalsaraei
Department of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.
author
Fayyaz
Khodadosti
Department of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.
author
text
article
2014
eng
In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with standard methods.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
47
54
https://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf
Simulation study on copulas
Sinem Tuğba Şahin
Tekin
Gazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.
author
Vadoud
Najjari
Gazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.
author
H. Hasan
Örkcü
Gazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.
author
text
article
2014
eng
There are several theorical results about order statistics and copulas in the literature that have been mentioned also by Nelsen \cite{p20}. The present study after reviewing some of these results, relies on simulation technique to investigate the mentioned results about order statistics and copulas. The study concentrates on two well known Archimedean Gumbel and Frank families in the case that marginal functions $F(k)$ and $G(k)$ have different distributions.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
55
63
https://scma.maragheh.ac.ir/article_11278_1b52ef412e1b8b424118ff6f5aaa80c8.pdf
Characterization of fuzzy complete normed space and fuzzy b-complete set
Hamid Reza
Moradi
Department of Mathematics, Qaemshhar Branch, Islamic Azad University, Qaemshahr, Iran.
author
text
article
2014
eng
The present paper introduces the notion of the complete fuzzy norm on a linear space. And, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. Some characterizations of their properties are obtained.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
65
75
https://scma.maragheh.ac.ir/article_11280_7a399dbd2cdc54a494672cf68cd9ec1a.pdf
Commutative curvature operators over four-dimensional generalized symmetric spaces
Ali
Haji-Badali
Faculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167,
Bonab, Iran.
author
Masoud
Dehghan
Department of Mathematics, Faculty of Science, University of ABCD,
P.O.Box xxxx, City, Country.
author
Fereshteh
Nourmohammadi
Faculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167,
Bonab, Iran.
author
text
article
2014
eng
Commutative properties of four-dimensional generalized symmetric pseudo-Riemannian manifolds were considered. Specially, in this paper, we studied Skew-Tsankov and Jacobi-Tsankov conditions in 4-dimensional pseudo-Riemannian generalized symmetric manifolds.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
01
v.
2
no.
2014
77
90
https://scma.maragheh.ac.ir/article_11282_d1c0396d2d6f9125c2483b14036ea9bd.pdf