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Cosine functions revisited

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Publication:638178
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DOI10.15352/bjma/1313363008zbMath1230.43005OpenAlexW2054637176MaRDI QIDQ638178

Dilian Yang

Publication date: 9 September 2011

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/BJMA/tex_v5_n2_a13.pdf


zbMATH Keywords

cosine functionnon-abelian Fourier transformrepresentation of a compact group


Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Compact groups (22C05) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)


Related Items (7)

Stability of a generalization of Wilson's equation ⋮ A variant of d'Alembert functional equation on monoids ⋮ The small dimension lemma and d'Alembert's equation on semigroups ⋮ Generalized Hyers-Ulam stability of trigonometric functional equations ⋮ Solutions and stability of a variant of Wilson's functional equation ⋮ The algebraic small dimension lemma with an anti-homomorphism on semigroups ⋮ A note on d'Alembert's functional equation on a restricted domain




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