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.
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.