The cosine functional equation for nilpotent groups

DOI10.1007/BF01837878zbMath0348.39004MaRDI QIDQ1234429

Ilie Corovei

Publication date: 1977

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136633

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) General theory of functional equations and inequalities (39B05)

Related Items (11)

D'Alembert's equation and spherical functions ⋮ Wilson's functional equations on groups ⋮ More about Wilson's functional equation ⋮ -SPHERICAL FUNCTIONS ON ABELIAN SEMIGROUPS ⋮ On solutions of the d'Alembert equation on a restricted domain ⋮ D'Alembert's and Wilson's equations on semigroups ⋮ Factorization of cosine functions on compact connected groups ⋮ D'Alembert's functional equations on hypergroups ⋮ On two functional equations with involution on groups related to sine and cosine functions ⋮ A note on d'Alembert's functional equation ⋮ D’Alembert’s Functional Equation and Superstability Problem in Hypergroups

Cites Work

• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• Nilpotent Groups and Their Generalizations
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