@inproceedings{fc74363a6a3549058dff0d491b65b6db,
title = "Generalized quaternionic schur functions in the ball and half-space and Krein-Langer factorization",
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 [9]. We treat both the case of functions with κ 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.",
keywords = "Blaschke products, Realization, Reproducing kernels, Schur functions, Slice hyperholomorphic functions",
author = "Daniel Alpay and Fabrizio Colombo and Irene Sabadini",
note = "Publisher Copyright: {\textcopyright} 2014 Springer International Publishing Switzerland.; 9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013 ; Conference date: 05-08-2013 Through 09-08-2013",
year = "2014",
month = jan,
day = "1",
doi = "10.1007/978-3-319-08771-9_2",
language = "English",
isbn = "9783319087702",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "19--41",
editor = "Swanhild Bernstein and Uwe K{\"a}hler and Irene Sabadini and Frank Sommen",
booktitle = "Hypercomplex Analysis",
}