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arxiv: 0802.2373 · v1 · submitted 2008-02-17 · 🧮 math.PR · math.CV

Rational functions associated with the white noise space and related topics

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keywords functionsnoiseproductrationalreplacedspacewhiteassociated
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Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida's white noise space. The Fueter polynomials are replaced by a basis computed in terms of the Hermite functions, and the Cauchy-Kovalevskaya product is replaced by the Wick product.

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