Lobachevskii Journal of Mathematics

, Volume 38, Issue 4, pp 595–599 | Cite as

On tomographic representation on the plane of the space of Schwartz operators and its dual

Article

Abstract

It is shown that the set of optical quantum tomograms can be provided with the topology of Frechet space. In such a case the conjugate space will consist of symbols of quantum observables including all polynomials of the position and momentum operators.

Keywords and phrases

Schwartz operator optical tomogram dual map 

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References

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia

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