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Rational Slice Hyperholomorphic Functions

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Slice Hyperholomorphic Schur Analysis

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 256))

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Abstract

Rational functions play an important role in linear system theory, and in the noncommutative case we mention in particular the works [225, 264, 265]. We also mention [65], which is set in the framework of noncommutative probability. There the approach uses a topological algebra of a very special structure (dual of a countably normed nuclear space, with a series of inequalities on the norms), and is also quite far from the quaternionic setting.

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Alpay, D., Colombo, F., Sabadini, I. (2016). Rational Slice Hyperholomorphic Functions. In: Slice Hyperholomorphic Schur Analysis. Operator Theory: Advances and Applications, vol 256. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42514-6_9

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