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Journal of Stochastic Analysis

Multiplication Operators by White Noise Delta Functions and Associated Differential Equations

Luigi Accardi, Un Cig Ji, Kimiaki Sait�

Published Jun 22, 2023• 0 citations
Publisher

Abstract

We establish explicit forms of the multiplication operators induced by white noise delta functions, which are closely related to the Bogoliubov transformation and a quantum analogue of Girsanov transform.Then we study the differential equations for operators associated with the multiplication operators by the white noise delta functions.
DOI
10.31390/josa.4.2.04

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