On a Uniqueness Property of n-th Convolutions and Extensions of Titchmarsh Convolution Theorem

Автор(и)

  • Alexander Ulanovskii University of Stavanger, Postboks 8600, 4036 Stavanger, Norway

DOI:

https://doi.org/10.15407/mag20.04.08

Анотація

Ця замітка є спробою представити коротку історію про те, як питання Колмогорова про міри Гауса привело до низки теоретико-функціональних результатів, одержаних переважно Островським та деякими з його учнів. Замітка має на меті окреслити загальний розвиток, а не подати повний звіт про результати.

Mathematical Subject Classification 2020: 30D, 60E

Ключові слова:

ймовiрнiсна мiра, нескiнченно подiльна мiра, характеристична функцiя, аналiтична функцiя, теорема Тiтчмарша про згортку, теорiя розподiлу Неванлiнни

Посилання

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Ulanovskii, A. On a Uniqueness Property of n-th Convolutions and Extensions of Titchmarsh Convolution Theorem. Журн. мат. фіз. анал. геом. 2024, 20, 525–533.

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