Wiener algebra for the quaternions

2015/01/12 by Daniel Alpay, Alpay, Daniel, Fabrizio Colombo +5 · 1 citation
Mathematics · #13J05 #47B35 #47S #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1501.02642

openalex publication_date 2015/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Generalized harmonic analysis

Cited by

• Weighted inversion of vector valued Dirichlet series

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