Generalized Quaternionic Schur Functions in the Ball and Half-Space and Krein-Langer Factorization
Download Full Text
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 . 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.
Algebra | Discrete Mathematics and Combinatorics | Other Mathematics
D. Alpay, F. Colombo, and I. Sabadini. Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization. In Hypercomplex Analysis: New perspectives and applications Trends in Mathematics (Birkhäuser, Basel), pp. 19-41 (2014).