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- W4300693876 abstract "In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomorphic setting which is more general than the one proved in [D. Alpay, F. Colombo, I. Sabadini, Krein-Langer factorization and related topics in the slice hyperholomorphic setting, J. Geom. Anal., 24 (2014), 843--872]. We treat both the case of functions with $kappa$ negative squares defined on subsets of the quaternionic unit ball or on subsets of the half space of quaternions with positive real part. A crucial tool in the proof of our results is the Schauder-Tychonoff theorem and an invariant subspace theorem for contractions in a Pontryagin space." @default.
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- W4300693876 date "2014-06-26" @default.
- W4300693876 modified "2023-09-28" @default.
- W4300693876 title "Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization" @default.
- W4300693876 doi "https://doi.org/10.48550/arxiv.1406.6830" @default.
- W4300693876 hasPublicationYear "2014" @default.
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