Geodesic
Finely differentiable monogenic functions
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 301-305.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Since 1970’s B. Fuglede and others have been studying finely holomorhic functions, i.e., ‘holomorphic’ functions defined on the so-called fine domains which are not necessarily open in the usual sense. This note is a survey of finely monogenic functions which were introduced in (Lávička, R., A generalisation of monogenic functions to fine domains, preprint.) like a higher dimensional analogue of finely holomorphic functions.
Classification : 30G35, 31C40 
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     author = {L\'avi\v{c}ka, Roman},
     title = {Finely differentiable monogenic functions},
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Lávička, Roman. Finely differentiable monogenic functions. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 301-305. http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a16/