Sahand Communications in Mathematical Analysis
Volume:1 Issue: 2, Summer-Autumn 2014

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.phrases.

The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an X -frame and a system conjugate to X -frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of X ̃-frame having a conjugate system is studied.

The asymptotic behaviour of the sequence with general term Pn = (φ(1) + φ(2) + _ _ _ + φ(n))/(1 + 2 + _ _ _ + n), is studied which appears in the studying of coprime integers, and an explicit bound for the difference P_n-6⁄π^2 is found.

Let ϖ 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 ζ for ϖ and ψ∈L^p (G/H) 1≤p<∞, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

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 the efficiency of schemes, for some differential equations are provided. In order to illustratethe accuracy of the new NSFDs, the numerical results are compared with standard methods.

There are several theorical results about order statistics and copulas in the literature that have been mentioned also by Nelsen [11]. 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.

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.

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.