Back to Search Start Over

On Compact Singularities for regular functions of one quaternionic varibale

Authors :
Irene Sabadini
Carlos A. Berenstein
Philippe Loustaunau
William W. Adams
Daniele C. Struppa
Source :
Complex Variables, Theory and Application: An International Journal. 31:259-270
Publication Year :
1996
Publisher :
Informa UK Limited, 1996.

Abstract

We prove that regular functions of one quaternionic variahle which satisfy a large class of differential equations cannot have compact singulanties. This result is equivalent to the fact that a large family of 8 × 4 matrices has torsion-free cokernel. The result (obvrons in inc complex case) eaisly extends to Clifford algebray.

Details

ISSN :
15635066 and 02781077
Volume :
31
Database :
OpenAIRE
Journal :
Complex Variables, Theory and Application: An International Journal
Accession number :
edsair.doi...........316d1caece2cecb27ec444dc8514cbf8