On an exponential-cosine functional equation

DOI10.1007/BF01848837zbMath0679.39003MaRDI QIDQ1822699

Harshinder Singh, J. C. Parnami, Harkrishan L.Vasudeva

Publication date: 1988

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Banach spaceCauchy functional equationD'Alembert functional equationexponential-cosine functional equationset of points of continuity

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (4)

The small dimension lemma and d'Alembert's equation on semigroups ⋮ More about Wilson's functional equation ⋮ A Class of Functional Equations of Type d’Alembert on Monoids ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

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• Exponential-cosine operator-valued functional equation in the strong operator topology
• On an exponential-cosine operator-valued functional equation
• A sine functional equation
• On some functional equations in Banach spaces
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• A functional equation on a vector space
• Continuous Solutions of the Functional Equation f(x + y) + f(x - y) = 2f (x)f(y)

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