Rational Functions Associated To the White Noise Space and Related Topics

Authors

Daniel Alpay, Chapman UniversityFollow
David Levanony, Ben Gurion University of the Negev

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.

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

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