Wiener Algebra for the Quaternions

Authors

Daniel Alpay, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
David P. Kimsey, Ben Gurion University of the Negev
Irene Sabadini, Politecnico di Milano

Document Type

Article

Publication Date

2016

Abstract

We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-Lévy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf operators.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mediterrean Journal of Mathematics, volume 13, issue 2, in 2016 following peer review. The final publication is available at Springer via DOI: 10.1007/s00009-015-0634-z

Recommended Citation

D. Alpay, F. Colombo,D. Kimsey and I. Sabadini. Wiener algebra for the quaternions. Mediterrean Journal of Mathematics, vol. 13 (2016), no 2, 2463-2482.

Peer Reviewed

1

Copyright

Springer