On language equations with invertible operations.dvi

Invertible insertion and deletion operations.dvi

The paper investigates the way in which the property of a language operation ⋄ ”to be invertible” helps in solving language equations of the type L⋄Y = R. In the beginning, the simple case where ⋄ denotes catenation is studied, but the results are then generalized for various invertible insertion and deletion operations. For most of the considered operations ⋄, the problem ”Does there exist a s...

SOME REMARKS ON WEAKLY INVERTIBLE FUNCTIONS IN THE UNIT BALL AND POLYDISK

We will present an approach to deal with a problem of existence of (not) weakly invertible functions in various spaces of analytic functions in the unit ball and polydisk based on estimates for integral operators acting between functional classes of different dimensions.

Group Actions as Stroboscopic Maps of Ordinary Differential Equations

Non-invertible discrete-time dynamical systems can be derived from group actions. In the present work possibility of application of this method to systems of ordinary differential equations is studied. Invertible group actions are considered as possible candidates for stroboscopic maps of ordinary differential equations. It is shown that a map on SU (2) group interpolates exactly a flow of the ...

USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS

‎In this paper‎, ‎two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:Hrightarrow H $ is a bounded‎, ‎invertible and self-adjoint linear operator on a separable Hilbert space $ H $‎. ‎ By using the concept of frames of subspaces‎, ‎which is a generalization of frame theory‎, ‎we design some  algorithms based on Galerkin and Richardson methods‎, ‎and then we in...

On the denseness of the invertible group in uniform Frechet algebras