In this paper we establish a relation between the notion of operators of analytic semigroups and matrix transformations from a set of sequences into w∞. We get extensions of some results given by Labbas and de Malafosse concerning applications of the sum of operators in the nondifferential case.

Let Xn = {1, 2, . . . , n}. On a partial transformation α : Domα ⊆ Xn → Im α ⊆ Xn of Xn the following parameters are defined: the breadth or width of α is | Dom α |, the height of α is | Im α |, and the right (resp., left) waist of α is max(Im α) (resp., min(Im α)). We compute the cardinalities of some equivalences defined by equalities of these parameters on OPn, the semigroup of orientation-p...

defined by a four-dimensional "triangular" matrix jamnkjjj (m, n, k, I = 1, 2, 3, ...; amnkl = O for k > m or I > n or both) of real or complex numbers. We showed (Theorem 2 of I) that if (A) is regular for bounded sequences, it is in general regular also for a large class of unbounded sequences. Special interest attaches to the type of transformation (A) for which we have amnklz = amk anl (m, ...

The objective of this paper is to develop algorithms for efficient and fast implementation in a multilayered mode of signal-processing tasks such as convolution, correlation, matrix multiplication, Fourier transformation, Hilbert transformation, etc., using structures built out of a large number of simple cells. Some of these designs are essentially conceptual, while others, such as the ones fo...

An image can be compressed if, and only if, its pixels are correlated. This is mentioned many times in Chapter 4, as well as the fact that any image compression method results in decorrelating the pixels. As a result, any transformation that decorrelates values can be the basis for an image compression method. Several such transformations are described in Section 4.4. The topic of this document...

This study investigated the elastic deformation behaviour of Nb nanowires embedded in a NiTi matrix. The Nb nanowires exhibited an ultra-large elastic deformation, which is found to be dictated by the martensitic transformation of the NiTi matrix, thus exhibiting unique characteristics of locality and rapidity. These are in clear contrast to our conventional observation of elastic deformations ...