The authors of this Research Note were driven by the quest to construct a theory in several complex variables that has the same structure as the one-variable theory. That is, they sought a reproducing kernel for the whole class that is universal and from same class. This book documents their success. Their highly original approach allowed them to obtain new results and refine some well-known results from the classical theory of several complex variables. The "hyperholomorphic" theory they developed proved to be a kind of ...
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The authors of this Research Note were driven by the quest to construct a theory in several complex variables that has the same structure as the one-variable theory. That is, they sought a reproducing kernel for the whole class that is universal and from same class. This book documents their success. Their highly original approach allowed them to obtain new results and refine some well-known results from the classical theory of several complex variables. The "hyperholomorphic" theory they developed proved to be a kind of direct sum of function theories for two Dirac-type operators of Clifford analysis considered in the same domain.
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