TY - JOUR
T1 - A holomorphic extension theorem from a fractal hypersurface in ℂ2
AU - Abreu Blaya, Ricardo
AU - Bory Reyes, Juan
AU - Moreno García, Tania
N1 - Funding Information:
Acknowledgments. The first two authors wish to thank the IMPA, Rio de Janeiro, where the final version of the paper was written, for the invitation and hospitality. They were partially supported by the CAPES-MES project 028/07.
PY - 2007/12
Y1 - 2007/12
N2 - We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ2. We use the quaternionic analysis techniques to extending the CR structure to a pure function theoretical nature. The advantage of our procedure lies in the fact that it also runs for domains with fractal boundary.
AB - We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ2. We use the quaternionic analysis techniques to extending the CR structure to a pure function theoretical nature. The advantage of our procedure lies in the fact that it also runs for domains with fractal boundary.
KW - CR-functions
KW - Holomorphic functions
KW - Quaternionic analysis
UR - http://www.scopus.com/inward/record.url?scp=37249040976&partnerID=8YFLogxK
U2 - 10.1007/s00574-007-0066-x
DO - 10.1007/s00574-007-0066-x
M3 - Artículo
SN - 1678-7544
VL - 38
SP - 635
EP - 647
JO - Bulletin of the Brazilian Mathematical Society
JF - Bulletin of the Brazilian Mathematical Society
IS - 4
ER -