Details:
Title  First order differential operators in real dimension eight  Author(s)  Irene Sabadini, Daniele C. Struppa  Type  Article in Journal  Abstract  The authors are interested in function theories which can be developed in real dimension eight. The reason why this dimension has been chosen is that eight is the highest real dimension for which real alternative division algebras can exist. Thus in the Introduction the authors analyze the algebras of biquaternions (complex quaternions) and octonions (Cayley numbers) and the Clifford algebra generated by three imaginary units. In Section 2 they consider notions of regularity for those algebras as well as for some other variables related to them, such as two quaternionic variables. Section 3 analyzes onevariable theories versus severalvariable theories where 'one variable' can be one multidimensional variable (such as the quaternionic variable). Several Cauchy integral formulas are presented in Section 4, while in Section 5 one can learn about certain relations between the material in the previous sections and physics.  Keywords  quaternionic analysis, clifford alanysis, algebraic analysis, octonions, cauchy formulas  ISSN  02781077 
URL 
www.tlc185.com/coala 
Language  English  Journal  Complex Var. Theory Appl.  Volume  47  Number  10  Pages  953968  Year  2002  Edition  0  Translation 
No  Refereed 
No 
