Independent linear forms on the group \(\Omega_p\)

DOI10.1007/s10959-019-00888-yzbMath1431.60006arXiv1711.10387OpenAlexW2915223722MaRDI QIDQ2297312

Margaryta Myronyuk

Publication date: 18 February 2020

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10387

zbMATH Keywords

characterization theoremgroup of \(p\)-adic numbersSkitovich-Darmois theorem

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Generalized Pólya's theorem on \(\boldsymbol{a}\)-adic solenoids

Cites Work

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• Skitovich-Darmois theorem for discrete and compact totally disconnected abelian groups
• On the Skitovich-Darmois theorem for the group of \(p\)-adic numbers
• The Bernstein and Skitovič-Darmois characterization theorems for Gaussian distributions on groups, symmetric spaces, and quantum groups
• On the Skitovich-Darmois theorem for compact Abelian groups
• Skitovich-Darmois theorem for finite abelian groups
• Characterization of the Gaussian distribution on groups by the independence of linear statistics
• Functional equations and characterization problems on locally compact abelian groups
• On the Skitovich-Darmois theorem and Heyde theorem in a Banach space
• The Skitovich--Darmois Theorem for Discrete Periodic Abelian Groups
• THE SKITOVICH–DARMOIS THEOREM FOR LOCALLY COMPACT ABELIAN GROUPS
• A Characterization of the Uniform Distribution on a Compact Topological Group
• On the Skitovich–Darmois Theorem on Abelian Groups
• More on the Skitovich-Darmous Theorem for Finite Abelian Groups
• Caractérisation des distributions gaussiennes sur les groupes nilpotents simplement connexes et les espaces symétriques
• On a Characterization of the Haar Distribution on Compact Abelian Groups
• Independent Linear Statistics on the Cylinders
• On the Skitovich--Darmois Theorem for Discrete Abelian Groups
• Analyse générale des liaisons stochastiques: etude particulière de l'analyse factorielle linéaire