Document Type
Article
Publication Date
2008
Abstract
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.
Recommended Citation
D. Alpay and D. Levanony. Rational functions associated to the white noise space and related topics. Potential Analysis, vol. 29 (2008) pp. 195-220.
Peer Reviewed
1
Copyright
Springer
Included in
Algebra Commons, Discrete Mathematics and Combinatorics Commons, Other Mathematics Commons
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Potential Analysis, volume 29, in 2008 following peer review. The final publication is available at Springer via DOI: 10.1007/s11118-008-9094-4