On tomographic representation on the plane of the space of Schwartz operators and its dual
- Authors: Amosov G.G.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 38, No 4 (2017)
- Pages: 595-599
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199551
- DOI: https://doi.org/10.1134/S1995080217040023
- ID: 199551
Cite item
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
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