Eventi
HYPERCOMPLEX ANALYSIS AS A UNIFYING THEORY: ON SOME BASIC IDEAS.
Hypercomplex analysis is a generic name for those generalizations of one-dimensional complex analysis which involve hypercomplex numbers. Quaternionic analysis is the oldest and the most known version of it, so that it will be discussed, first of all, in which sense it is a "proper" or a "closest" version in low dimensions which includes, as particular cases, such classic theories as vector analysis and holomorphic mappings in two complex variables, as well as some systems of partial differential equations. This allows to one, by developing quaternionic analysis, to obtain new results for the above classic theories and to refine known ones; some applications of this approach will be presented. Some comments on Clifford analysis and its applications will be also made.
Seminari Matematici al
Politecnico di Milano
- Analisi
- Cultura Matematica
- Seminari FDS
- Geometria e Algebra
- Probabilità e Statistica Matematica
- Probabilità Quantistica