A classical theorem of C. Fefferman [3] says that the characteristic function of the unit disc is not a Fourier multiplier on L(R) unless p = 2. In this article we obtain a result that brings a contrast with the previous theorem. We show that the characteristic function of the unit disc in R is the Fourier multiplier of a bounded bilinear operator from L1(R) × L2(R) into L(R), when 2 ≤ p1, p2 <...

The filtering problem is among the fundamental issues in control and signal processing. Several approaches such as H2 optimal filtering and H∞ optimal filtering have been developed to address this issue. While the optimal H2 filtering problem has been extensively studied in the past for linear systems, to the best of our knowledge, it has not been studied for bilinear systems. This is indeed su...

We propose a bilinear model of respiratory organ motion. The advantages of classical statistical shape modelling are combined with a preconditioned trajectory basis for separately modelling the shape and motion components of the data. The separation of a linear basis into bilinear form leads to a more compact representation of the underlying physical process and the resulting model respects the...

Well log is a data manifestation of geographical, chemical, physical and other information detected in different geological environment and formation condition by means of different well log methods. Aiming at the noise existing in well log signal and the property of its morphological characteristics and combining and analyzing bilinear interpolation algorithm and the theory of wavelet transfor...

Generalized and subset generalized bilinear models which are capable of achieving stationary for all non-linear series were developed to accommodate error process of elements of 2q-1 possible subsets with a view to achieve better model in the generalized bilinear model. The parameters of the models are estimated using robust nonlinear least-square method and Newton-Raphson iterative method. An ...

In this paper, an adaptive edge enhancement technique is proposed for two-dimensional (2-D) image scaling application. The anticipated image scaling algorithm consists of an edge detector, bilinear interpolation and sobel filter. The bilinear interpolation defines the intensity of the scaled pixel with the weighted average of the four nearest neighboring pixels, interpolated images become smoot...

There are a number of applications in which linear noise models are inappropriate. In this paper, the use of bilinear noise modela in circuits and devices is considered. Several physical problems are studied in this framework. These include circuils involving varying parameters (such as variable resistance circuits constructed using Jieldeffect transistors), the effect of switching jitter on sa...

in this paper, we study the arens regularity properties of module actions and we extend some proposition from baker, dales, lau and others into general situations. we establish some relationships between the topological centers of module actions and factorization properties of them with some results in group algebras. in 1951 arens shows that the second dual of banach algebra endowed with the e...

the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...

Abstract: This paper presents a strategy to design bilinear discrete cosine transform (DCT) algorithms of prime lengths. We show that by using multiplicative groups of integers, one can identify and arrange the computation as a pair of convolutions. When the DCT length p is such that (p−1)/2 is odd, the computation uses two (p−1)/2 point cyclic convolutions. When (p − 1)/2 = 2q with m > 0 and q...