Semispectral measures as convolutions and their moment operators

Jukka Kiukas; Pekka Lahti; Kari Ylinen

doi:10.1063/1.3032330

Semispectral measures as convolutions and their moment operators

Jukka Kiukas^*, Pekka Lahti, Kari Ylinen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, 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.

Original language	English
Article number	112103
Journal	Journal of Mathematical Physics
Volume	49
Issue number	11
DOIs	https://doi.org/10.1063/1.3032330
Publication status	Published - 26 Nov 2008
Externally published	Yes

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title = "Semispectral measures as convolutions and their moment operators",

abstract = "The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, 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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AU - Kiukas, Jukka

AU - Lahti, Pekka

AU - Ylinen, Kari

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N2 - The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, 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.

AB - The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, 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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U2 - 10.1063/1.3032330

DO - 10.1063/1.3032330

M3 - Article

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VL - 49

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

M1 - 112103

ER -

Semispectral measures as convolutions and their moment operators

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