Rational functions associated with the white noise space and related topics

Daniel Alpay, David Levanony

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.

Original languageEnglish
Pages (from-to)195-220
Number of pages26
JournalPotential Analysis
Volume29
Issue number2
DOIs
StatePublished - 1 Sep 2008

Keywords

  • Gleason's problem
  • Hida's white noise space
  • Hyperholomorphic functions
  • Rational functions
  • Wick product

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