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

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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/