A unified characterization theorem in white noise theory

Un Cig Ji, Nobuaki Obata

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We revisit a CKS-apace from the viewpoint of standard setup of white noise calculus and prove a general characterization theorem for white noise operators from a CKS-space into another CKS-space. The usual characterizations so far obtained for white noise distributions, white noise test functions and white noise operators are all consequences of the unified characterization theorem.

Original languageEnglish
Pages (from-to)167-178
Number of pages12
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume6
Issue number2
DOIs
Publication statusPublished - 2003 Jun 1

Keywords

  • Fock space
  • Gâteaux-entire function
  • Operator symbol
  • S-transform
  • White noise theory

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Applied Mathematics

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