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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

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

This article is cited in 3 papers

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.

UDC: 517.98, 530.245

MSC: 81P16, 46F99


 English version:
Journal of Mathematical Sciences (New York), 2021, 252:1, 1–7

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© Steklov Math. Inst. of RAS, 2025