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

This note is an attempt to present a brief story of how a question of Kolmogorov on Gaussian measures had led to an number of function-theoretic results obtained mostly by Ostrovskii and some of his students. It is intended to outline the general development, rather than give a full account of the r...

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Date:2024
Main Author: Ulanovskii, Alexander
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2024
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1089
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry
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Summary:This note is an attempt to present a brief story of how a question of Kolmogorov on Gaussian measures had led to an number of function-theoretic results obtained mostly by Ostrovskii and some of his students. It is intended to outline the general development, rather than give a full account of the results. Mathematical Subject Classification 2020: 30D, 60E