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arXiv 0802.2373math.PRmath.CV
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Rational functions associated with the white noise space and related topics

Daniel Alpay, David Levanony

英文摘要:

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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