TY - JOUR
T1 - Some integral representations of slice hyperholomorphic functions
AU - Colombo, Fabrizio
AU - Oscar González-Cervantes, J.
AU - Sabadini, Irene
N1 - Publisher Copyright:
© 2014 Independent University of Moscow.
PY - 2014/7/1
Y1 - 2014/7/1
N2 - In this paper we prove the analog of the Schwarz integral formula as well as other integral representations for slice monogenic functions. The key tool to establish these formulas is a suitable decomposition of slice monogenic functions. All the results that are stated in the case of slice monogenic functions hold also for slice regular functions of a quaternionic variable.
AB - In this paper we prove the analog of the Schwarz integral formula as well as other integral representations for slice monogenic functions. The key tool to establish these formulas is a suitable decomposition of slice monogenic functions. All the results that are stated in the case of slice monogenic functions hold also for slice regular functions of a quaternionic variable.
KW - Harnack inequalities
KW - Schwarz integral formula
KW - Slice monogenic functions
UR - http://www.scopus.com/inward/record.url?scp=84921709070&partnerID=8YFLogxK
U2 - 10.17323/1609-4514-2014-14-3-473-489
DO - 10.17323/1609-4514-2014-14-3-473-489
M3 - Artículo
SN - 1609-3321
VL - 14
SP - 473
EP - 489
JO - Moscow Mathematical Journal
JF - Moscow Mathematical Journal
IS - 3
ER -