We define and study the ring of rational functions in the hyperholomorphic setting. We give a number of equivalent characterizations of rationality. The Cauchy-Kovalevskaya product plays an important role in the arguments.
|Translated title of the contribution||Rational functions and realization theory: The hyperholomorphic case|
|Number of pages||6|
|Journal||Comptes Rendus Mathematique|
|State||Published - 15 Jun 2003|