In order to characterize the bivariate signals, minimum-energy bivariate wavelet frames with arbitrary dilation matrix are studied, which are based on superiority of theminimum-energy frame and the significant properties of bivariate wavelet. Firstly, the concept ofminimum-energy bivariate wavelet frame is defined, and its equivalent characterizations and a necessary condition are presented. Se...

Several almost optimal results are obtained about N-term nonlinear approximation by dilated integer translates of a refinable function associated with a finite mask and a rather general matrix dilation A ∈ GLn(Z). §

In this paper, we give a complete and simple parameterization for bivariate non-separable compactly supported orthonormal wavelets based on the commonly used uniform dilation matrix       = 0 1 2 0 D Key-Words: Wavelets, Nonseparable, Bivariate, Parameterization

We present an outline of how the ideas of self-similarity can be applied to wavelet theory, especially in connection to wavelets associated with a multiresolution analysis of R n allowing arbitrary dilation matrices and no restrictions on the number of scaling functions. 1. Introduction Wavelet bases have proved highly useful in many areas of mathematics, science, and engineering. One of the mo...

the aim of this study was to evaluate the effect of estradiol (e2), oxytocin (ot), relaxin (relaximol) injection and prostaglandin e1 (misoprostol) suppository on the cervix dilation, time of cervical dilation persistency and pregnancy rate of zandi ewes using artificial insemination. eighty 3-4 years old and 55±2.5 kg weight ewes were used for this study. in experiment 1, the ewes were assigne...

Aortic root dilation is an important, potentially lethal omplication of BAV (4) that substantially increases the risk f ascending aortic aneurysm, dissection, and rupture (3). uriously, aortic valve replacement does not prevent proressive dilation of the ascending aorta (5), suggesting that echanisms unrelated to hemodynamic factors, or to the alve per se, contribute to the aortopathy of BAV. A...

In this paper we shall study the initial functions in a cascade algorithm in a Sobolev space. By investigating the mutual relations among the initial functions in a cascade algorithm, we are able to study in a relatively unified approach several questions related to cascade algorithms and subdivision schemes in a Sobolev space W k p (Rs) (1 6 p 6∞, k ∈ N∪{0}) such as convergence, error estimate...

For an $$n\times n$$ complex matrix C, the C-numerical range of a bounded linear operator T acting on Hilbert space dimension at least n is set numbers $$\textrm{tr}\,(CX\,^*\,TX)$$ , where X partial isometry satisfying $$X^*X = I_n$$ . It shown that $$\begin{aligned} \textbf{cl}(W_C(T)) \cap \{\textbf{cl}(W_C(U)): U \hbox { unitary dilation } T\} \end{aligned}$$ for any contraction if and only...