TY - JOUR
T1 - Boundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in (Formula presented.)
AU - Abreu-Blaya, Ricardo
AU - Bory-Reyes, Juan
AU - Brackx, Fred
AU - De Schepper, Hennie
AU - Moreno-García, Tania
AU - Sommen, Frank
N1 - Publisher Copyright:
© 2014, Springer Basel.
PY - 2015/6/18
Y1 - 2015/6/18
N2 - In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in (Formula presented.) for quaternionic Hermitian monogenic functions, using a circulant matrix approach. To this end we introduce the matrix Cauchy and Hilbert transforms on the fractal boundary of a bounded domain and prove a matricial Cauchy formula.
AB - In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in (Formula presented.) for quaternionic Hermitian monogenic functions, using a circulant matrix approach. To this end we introduce the matrix Cauchy and Hilbert transforms on the fractal boundary of a bounded domain and prove a matricial Cauchy formula.
KW - Boundary value problems
KW - Fractal surfaces
KW - Quaternionic Hermitian Clifford analysis
UR - http://www.scopus.com/inward/record.url?scp=84929317549&partnerID=8YFLogxK
U2 - 10.1007/s11785-014-0370-6
DO - 10.1007/s11785-014-0370-6
M3 - Artículo
SN - 1661-8254
VL - 9
SP - 957
EP - 973
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 5
ER -