arXiv math/06033012006-03-13math.CVmath.DG

Functions of several Cayley-Dickson variables and manifolds over them

S. V. Ludkovsky

发表信息：: 2007, J. Mathem. Sci., N.Y., V. 141: 3
DOI：: 10.1007/s10958-007-0043-3

英文摘要：

Functions of several octonion variables are investigated and integral representation theorems for them are proved. With the help of them solutions of the ${\tilde {\partial}}$-equations are studied. More generally functions of several Cayley-Dickson variables are considered. Integral formulas of the Martinelli-Bochner, Leray, Koppelman type used in complex analysis here are proved in the new generalized form for functions of Cayley-Dickson variables instead of complex. Moreover, analogs of Stein manifolds over Cayley-Dickson graded algebras are defined and investigated.

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