Sine and cosine type functional equations on hypergroups

DOI10.1515/APAM-2017-0002zbMath1420.39019OpenAlexW2790779869MaRDI QIDQ1999700

Mohammed Moussa, Ahmed Roukbi, Fouad Lehlou

Publication date: 27 June 2019

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2017-0002

zbMATH Keywords

hypergroupexponential mapmultiplicative mapd'Alembert's equationsine and cosine functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Compact groups (22C05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Cites Work

• Van Vleck's functional equation for the sine
• Sine functions on hypergroups
• On two functional equations with involution on groups related to sine and cosine functions
• Sine and cosine equation on discrete polynomial hypergroups
• Harmonic analysis of probability measures on hypergroups
• Moment functions and laws of large numbers on hypergroups
• Spaces with an abstract convolution of measures
• D'Alembert's functional equations on hypergroups
• Functional Equations on Hypergroups
• D’Alembert’s Functional Equation and Superstability Problem in Hypergroups
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