This paper devotes a new general notion of holomorphy which works in the continous and discrete cases. With the help of methods of a general operator theory the so called L-holomorphy is introduced. Realizations of this calculus follow. New versions of Taylor- and Taylor–Gontcharov formulae are deduced. The results are applied for the solution of higher order systems of differential equations.
@article{1483,
title = {On a new notion of holomorphy and its applications},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1483}
}
Sproessig, Wolfgang; Thu Hoai, Le. On a new notion of holomorphy and its applications. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1483/