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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 151, Pages 3–9 (Mi into335)  

On Various Functional Representations of the Space of Schwarz Operators

G. G. Amosovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Saint Petersburg State University
c Moscow Institute of Physics and Technology (State University)

Abstract: In this paper, we discuss various representations in which the space of Schwarz operators $S$ turns into the space of basic functions, whereas the dual space $S'$ turns into the space of generalized functions.

Keywords: quantum tomography, functional representation, space of Schwarz operators

Full text: PDF file (182 kB)

Bibliographic databases:
UDC: 517.98, 530.245
MSC: 81P16, 46F99

Citation: G. G. Amosov, “On Various Functional Representations of the Space of Schwarz Operators”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 3–9

Citation in format AMSBIB
\Bibitem{Amo18}
\by G.~G.~Amosov
\paper On Various Functional Representations of the Space of Schwarz Operators
\inbook Quantum probability
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 151
\pages 3--9
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into335}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3903361}


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