Realizations of slice hyperholomorphic generalized contractive and positive functions

2013/10/03 by Alpay, Daniel, Colombo, Fabrizio, Lewkowicz, Izchak +1
#30G35 #47B32 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1310.1035

Abstract

We introduce generalized Schur functions and generalized positive functions in setting of slice hyperholomorphic functions and study their realizations in terms of associated reproducing kernel Pontryagin spaces

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