Rational functions associated with the white noise space and related topics

Details Rational functions associated with the white noise space and related topics Rational functions associated with the white noise space and related topics

2008-02-17

arxiv.org/abs/0802.2373v1

Mathematics

Probability

30 pages

Scientific paper

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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