Email this article On Mutually Inverse Transforms of Functions on a Half-Line
- Authors: Protasov V.Y.1,2, Shirokov M.E.3,4
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Affiliations:
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- National Research University High School of Economics
- Steklov Mathematical Institute, Russian Academy of Sciences
- Moscow Institute of Physics and Technology (National Research University)
- Issue: Vol 100, No 3 (2019)
- Pages: 560-563
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225746
- DOI: https://doi.org/10.1134/S1064562419060176
- ID: 225746
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Abstract
Two transforms of functions on a half-line are considered. It is proved that their composition gives a concave majorant for every nonnegative function. In particular, this composition is an identity transform in the class of nonnegative concave functions. Applications of this result in Hilbert space operator theory and the theory of quantum systems are indicated. Several open problems are formulated.
About the authors
V. Yu. Protasov
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; National Research University High School of Economics
Author for correspondence.
Email: v-protassov@yandex.ru
Russian Federation, Moscow, 119991; Moscow, 101000
M. E. Shirokov
Steklov Mathematical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University)
Author for correspondence.
Email: msh@mi-ras.ru
Russian Federation, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700
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