2021-10-19T19:32:00Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=1865
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions
Arash
Ghaani Farashahi
Mozhgan
Mohammad-Pour
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.
Cyclic wavelet transform (CWT)
Finite affine group
Prime integer
Digital signal processing
2014
12
01
1
17
https://scma.maragheh.ac.ir/article_11272_6b84bf3354fa5ed03323941d3c72b4b1.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
On X ̃-frames and conjugate systems in Banach spaces
Migdad
Ismailov
Afet
Jabrailova
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.
p-frames
X ̃-frames
Conjugate systems to X ̃
2014
12
01
19
29
https://scma.maragheh.ac.ir/article_11273_0356133177a286fc7ca41146dd50c9bf.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
On a sequence related to the coprime integers
Mehdi
Hassani
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.
Euler function
Coprime integers
Asymptotic behaviour of the sequence
2014
12
01
31
37
https://scma.maragheh.ac.ir/article_11274_868c353aa19d64f70c97af5928061b30.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
A Class of compact operators on homogeneous spaces
Fatemah
Esmaeelzadeh
Rajab Ali
Kamyabi Gol
Reihaneh
Raisi Tousi
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.
Homogenous space
Square integrable representation
Admissible wavelet
Localization operator
2014
12
01
39
45
https://scma.maragheh.ac.ir/article_11275_2af10d7d0a659c8c7a3a2841a2740d7d.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
Nonstandard finite difference schemes for differential equations
Mohammad
Mehdizadeh Khalsaraei
Fayyaz
Khodadosti
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.
Finite difference
Nonstandard
Singular
Predator-prey model
Heat equation
2014
12
01
47
54
https://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
Simulation study on copulas
Sinem Tuğba Şahin
Tekin
Vadoud
Najjari
H. Hasan
Örkcü
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.
Copulas
Order statistics
Generating random variables
Goodness of fit test
2014
12
01
55
63
https://scma.maragheh.ac.ir/article_11278_1b52ef412e1b8b424118ff6f5aaa80c8.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
Characterization of fuzzy complete normed space and fuzzy b-complete set
Hamid Reza
Moradi
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.
Fuzzy Set
Normed Space
Complete Set
2014
12
01
65
75
https://scma.maragheh.ac.ir/article_11280_7a399dbd2cdc54a494672cf68cd9ec1a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2014
01
2
Commutative curvature operators over four-dimensional generalized symmetric spaces
Ali
Haji-Badali
Masoud
Dehghan
Fereshteh
Nourmohammadi
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.
Commutative manifold
Pseudo-Riemannian manifold
Cyclic parallel
Locally conformally flat
Curvature operator
2014
12
01
77
90
https://scma.maragheh.ac.ir/article_11282_d1c0396d2d6f9125c2483b14036ea9bd.pdf