Regular analytic transformations of $ℝ^2$

Regular Analytic Transformations of R 2

1. Introduction We deene the notion of a loop and use it to derive properties of non

Regular Transducer Expressions for Regular Transformations

Functional MSO transductions, deterministic two-way transducers, as well as streaming string transducers are all equivalent models for regular functions. In this paper, we show that every regular function, either on finite words or on infinite words, captured by a deterministic two-way transducer, can be described with a regular transducer expression (RTE). For infinite words, the transducer us...

Regular centralizers of idempotent transformations

Denote by T (X) the semigroup of full transformations on a set X. For ε ∈ T (X), the centralizer of ε is a subsemigroup of T (X) defined by C(ε) = {α ∈ T (X) : αε = εα}. It is well known that C(idX) = T (X) is a regular semigroup. By a theorem proved by J.M. Howie in 1966, we know that if X is finite, then the subsemigroup generated by the idempotents of C(idX) contains all non-invertible trans...

Matrix Transformations and Generators of Analytic Semigroups

In this paper, we are interested in the study of operators represented by infinite matrices. Note that in [1], Altay and Başar gave some results on the fine spectrum of the difference operator Δ acting on the sequence spaces c0 and c. Then they dealt with the fine spectrum of the operator B(r,s) defined by a matrix band over the sequence spaces c0 and c. In de Malafosse [3, 5], there are result...

FACTOR TRANSFORMATIONS : ANALYTIC TRANSFORMATIONS From Exploratory Factor Analysis