39 research outputs found
Sur la continuité des fonctions de variables complexes
Thèse--Univ. de Paris.Mode of access: Internet
3D-mappings by means of monogenic functions and their approximation
We consider quasi-conformal 3D-mappings realized by hypercomplex
di erentiable (monogenic) functions and their polynomial
approximation. Main tools are the series development
of monogenic functions in terms of hypercomplex variables
and the generalization of L. V. Kantorovich's approach for
approximating conformal mappings by powers of a small parameter.
.This work was partially supported by the R&D Unit Matematica e Aplicacoes (UIMA) of the University of Aveiro, through Portuguese Foundation for Science and Technology (FCT
Limits in categories of Vietoris coalgebras
Motivated by the need to reason about hybrid systems, we study limits in
categories of coalgebras whose underlying functor is a Vietoris polynomial one
- intuitively, the topological analogue of a Kripke polynomial functor. Among
other results, we prove that every Vietoris polynomial functor admits a final
coalgebra if it respects certain conditions concerning separation axioms and
compactness. When the functor is restricted to some of the categories induced
by these conditions the resulting categories of coalgebras are even complete.
As a practical application, we use these developments in the specification and
analysis of non-deterministic hybrid systems, in particular to obtain suitable
notions of stability, and behaviour.publishe