OPERATOR INFORMATION QUANTITIES OF SEMIGROUPS ASSOCIATED WITH FUNCTIONS OF THE NUMBER OPERATOR

Authors

Ryo InayoshiFollow
Kimiaki Saito, Department of Mathematics, Meijo UniversityFollow

Abstract

In this paper, we present recent developments on the operator information quantity acting on white noise functionals. In particular, we give a stochastic expression of the operator information quantity of a semigroup generated by some function of the number operator through a white noise delta distribution centered at an infinite dimensional Ornstein-Uhlenbeck process.

Recommended Citation

Inayoshi, Ryo and Saito, Kimiaki (2025) "OPERATOR INFORMATION QUANTITIES OF SEMIGROUPS ASSOCIATED WITH FUNCTIONS OF THE NUMBER OPERATOR," Journal of Stochastic Analysis: Vol. 6: No. 2, Article 3.
DOI: 10.31390/josa.6.2.03
Available at: https://repository.lsu.edu/josa/vol6/iss2/3

DOI

10.31390/josa.6.2.03