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


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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.

About the authors

G. G. Amosov

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: gramos@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991


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