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math.FA2012★ 2 cited
Krein-Langer factorization and related topics in the slice hyperholomorphic setting
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two sets of results: first, we give new results on the functional calculus for slice hy…
math.FA2012★ 1 cited
Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges…