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An extension of Herglotz's theorem to the quaternions
Authors:Daniel Alpay  Fabrizio Colombo  David P Kimsey  Irene Sabadini
Institution:1. Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel;2. Politecnico di Milano, Dipartimento di Matematica, Via E. Bonardi, 9, 20133 Milano, Italy
Abstract:
Keywords:Bochner theorem  Herglotz integral representation theorem  Negative squares  Pontryagin spaces  Reproducing kernels  Slice hyperholomorphic functions
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