TY - JOUR
T1 - On some categories and functors in the theory of quaternionic Bergman spaces
AU - González-Cervantes, J. O.
AU - Luna-Elizarrarás, M. E.
AU - Shapiro, M.
N1 - Funding Information:
The first-named author was partially supported by CONACYT and by IPN as Doctoral scholarship and PIFI scholarship recipient. The second-named and the third-named authors were partially supported by CONACYT projects as well as by IPN in the framework of COFAA and SIP programs.
PY - 2009
Y1 - 2009
N2 - Basic facts are presented about the theory of quaternionic Bergman spaces with special emphasis on what is happening with them under conformal transformations of the domains. Constructing a series of categories of quaternion-valued functions as well as functors acting between them we show that the arising spaces and operators have conformally covariant or invariant characters in terms of the theory of categories.
AB - Basic facts are presented about the theory of quaternionic Bergman spaces with special emphasis on what is happening with them under conformal transformations of the domains. Constructing a series of categories of quaternion-valued functions as well as functors acting between them we show that the arising spaces and operators have conformally covariant or invariant characters in terms of the theory of categories.
KW - Categories and functors
KW - Hyperlomorphic Bergman spaces
KW - Quaternionic Möbius transformations
KW - Quaternionic analysis
UR - http://www.scopus.com/inward/record.url?scp=70350026450&partnerID=8YFLogxK
U2 - 10.1007/s00006-009-0164-5
DO - 10.1007/s00006-009-0164-5
M3 - Artículo
SN - 0188-7009
VL - 19
SP - 325
EP - 338
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 2
ER -