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arxiv: 1901.02941 · v1 · pith:TQCPYIDWnew · submitted 2019-01-09 · 🧮 math.CV

The Cholewinski-Fock space in the Slice Hyperholomorphic Setting

classification 🧮 math.CV
keywords hyperholomorphicslicefockquaternionicsettingspaceapproachassociated
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Inspired from the Cholewinski approach see [5], we investigate a family of Fock spaces in the quaternionic slice hyperholomorphic setting as well as some associated quaternionic linear operators. In a particular case, we reobtain the slice hyperholomorphic Fock space introduced and studied in [2].

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