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.
@article{108036, author = {Roman L\'avi\v cka}, title = {Finely differentiable monogenic functions}, journal = {Archivum Mathematicum}, volume = {042}, year = {2006}, pages = {301-305}, zbl = {1164.30402}, mrnumber = {2322416}, language = {en}, url = {http://dml.mathdoc.fr/item/108036} }
Lávička, Roman. Finely differentiable monogenic functions. Archivum Mathematicum, Tome 042 (2006) pp. 301-305. http://gdmltest.u-ga.fr/item/108036/
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