Next: Mykola Hladiy - Generalized Up: Contributed Papers / Communications Previous: Boris Dekster - Each
Paul Gauthier - The Cauchy and Green theorems pour connexite arbitraire
| PAUL GAUTHIER, Universit/'e de Montréal, Montréal, Québec H3C 3J7 |
| The Cauchy and Green theorems pour connexite arbitraire |
The fundamental theorem of complex analysis is the Cauchy theorem which
states that if D is a bounded domain of the complex plane with
rectifiable boundary, consisting of finitely many disjoint Jordan
curves, then
for each function f holomorphic in D and continuous on its boundary. We show that the word `finitely' is superfluous. Nous donnons aussi une généralisation analogue du théorème de Green.
