Отправить статью по E-mail On Mutually Inverse Transforms of Functions on a Half-Line
- Авторы: Protasov V.Y.1,2, Shirokov M.E.3,4
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Учреждения:
- 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)
- Выпуск: Том 100, № 3 (2019)
- Страницы: 560-563
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225746
- DOI: https://doi.org/10.1134/S1064562419060176
- ID: 225746
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Аннотация
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.
Об авторах
V. Protasov
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; National Research University High School of Economics
Автор, ответственный за переписку.
Email: v-protassov@yandex.ru
Россия, Moscow, 119991; Moscow, 101000
M. Shirokov
Steklov Mathematical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University)
Автор, ответственный за переписку.
Email: msh@mi-ras.ru
Россия, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700
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