Quaternionic Wiener Algebras, Factorization and Applications

Quaternionic Wiener Algebras, Factorization and Applications We define an almost periodic extension of the Wiener algebras in the quaternionic setting and prove a Wiener–Lévy type theorem for it, as well as extending the theorem to the matrix-valued case. We prove a Wiener–Hopf factorization theorem for the quaternionic matrix-valued Wiener algebras (discrete and continuous) and explore the connection to the Riemann–Hilbert problem in that setting. As applications, we characterize solvability of two classes of quaternionic functional equations and give an explicit formula for the canonical factorization of quaternionic rational matrix functions via realization. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

Quaternionic Wiener Algebras, Factorization and Applications

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
D.O.I.
10.1007/s00006-016-0750-2
Publisher site
See Article on Publisher Site

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