Finely Differentiable Monogenic Functions

  title={Finely Differentiable Monogenic Functions},
  author={Roman L{\'a}vǐcka},
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 [12] like a higher dimensional analogue of finely holomorphic functions.