Semispectral measures as convolutions and their moment operators
Jukka Kiukas, Pekka Lahti, Kari Ylinen
TL;DR
This paper investigates the structure of moment operators for semispectral measures formed by convolutions, focusing on their domains and applications to phase space observables' Cartesian margins.
Contribution
It introduces a framework for analyzing moment operators of convolution-based semispectral measures and applies it to phase space observables.
Findings
Characterization of moment operators for convolution-structured semispectral measures
Identification of natural domains for these unbounded operators
Application to phase space observables' Cartesian margins
Abstract
The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, with paying attention to the natural domains of these unbounded operators. The results are then applied to conveniently determine the moment operators of the Cartesian margins of the phase space observables.
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