TY - JOUR
T1 - A cauchy transform for polyanalytic functions on fractal domains
AU - Santiesteban, Tania Rosa Gómez
AU - Blaya, Ricardo Abreu
AU - Reyes, Juan Bory
AU - Almira, José María Sigarreta
N1 - Publisher Copyright:
© Instytut Matematyczny PAN, 2018.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
KW - Cauchy transform
KW - Fractal domains
KW - Polyanalytic functions
UR - http://www.scopus.com/inward/record.url?scp=85048987140&partnerID=8YFLogxK
U2 - 10.4064/ap170703-2-12
DO - 10.4064/ap170703-2-12
M3 - Artículo
AN - SCOPUS:85048987140
SN - 0066-2216
VL - 121
SP - 21
EP - 32
JO - Annales Polonici Mathematici
JF - Annales Polonici Mathematici
IS - 1
ER -