A Cauchy transform for polyanalytic functions on fractal domains
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 21-32
MSC: Primary 30G35; Secondary 28A80.
DOI: 10.4064/ap170703-2-12
Published online: 19 December 2017
Abstract
A polyanalytic Cauchy transform over fractal curves is introduced and discussed, which allows us to obtain, in particular, integral representation formulas for smooth and polyanalytic functions in the presence of fractal boundaries.
