On solutions of the d'Alembert equation on a restricted domain
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Publication:1942000
DOI10.1007/s00010-012-0162-xzbMath1277.39036OpenAlexW2139059842MaRDI QIDQ1942000
Publication date: 25 March 2013
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-012-0162-x
subgroupliftingd'Alembert's functional equationcommutative grouprestricted domain(cosine) functional equationring without zero divisors
Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)
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Cites Work
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- Differential equations in Banach spaces. II: Theory of cosine operator functions
- Almost periodicity and functional equations
- On D'Alembert's functional equation on an Abelian group
- On functional equations associated with characters of unitary representations of groups
- The cosine functional equation for nilpotent groups
- A solution of D'Alembert's functional equation on a locally compact Abelian group
- D'Alembert's equation and spherical functions
- D'Alembert's functional equations on metabelian groups
- D'Alembert's and Wilson's functional equations on step 2 nilpotent groups
- d'Alembert's and Wilson's equations on Lie groups
- Factorization of cosine functions on compact connected groups
- On operator-valued spherical functions
- D'Alembert's Functional Equation on Groups
- The Stability of the Cosine Equation
- A Generalization of D'Alembert's Functional Equation
- D'Alembert Functional Equations in Distributions
- Group representations of bounded cosine functions.
- The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
