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arxiv: 1501.02642 · v1 · pith:JLNTPWLMnew · submitted 2015-01-12 · 🧮 math.CV

Wiener algebra for the quaternions

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keywords algebratheoremwienerapplicationscasecontinuouscounterpartdefine
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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-L\'evy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf operators.

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