Characterization of probability distributions on some locally compact abelian groups containing an element of order 2
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Publication:6597329
DOI10.1016/J.JMAA.2024.128579zbMATH Open1544.60015MaRDI QIDQ6597329
Publication date: 3 September 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Characterization and structure theory of statistical distributions (62E10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Cites Work
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- The Heyde theorem on a group \(\mathbb{R}^n \times D\), where \(D\) is a discrete Abelian group
- On a characterization theorem in the space \(\mathbb{R}^n\)
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