Phase Retrieval for Probability Measures on the Group ℤ23

Автор(и)

  • I. P. Il’inskaya V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61022, Ukrain

Анотація

Let $ Z_2$ be the group of the residue classes modulo 2. We give a complete description of the class of probability measures on the group $Z_2^3$, which are uniquely determined by the modulus of their characteristic functions up to a shift.

Mathematical Subject Classification 2020: 60B15, 60E10, 62P35

Ключові слова:

ймовірнісна міра на групі, характеристична функція, тривіальний клас еквівалентності, відновлення фази

Посилання

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Як цитувати

(1)
Il’inskaya, I. P. Phase Retrieval for Probability Measures on the Group ℤ23. Журн. мат. фіз. анал. геом. 2024, 20, 313–331.

Номер

Том 20 № 3 (2024): Пам'яті Йосипа Володимировича Островського (1934-2020)

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