On the functional equation \(f(x)g(y) = \prod\limits_{i=1}^n h_i (a_i x + b_i y)\)

DOI10.1007/BF01834912zbMath0289.39001OpenAlexW4253406847MaRDI QIDQ1847003

John A. Baker

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/136453

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) General theory of functional equations and inequalities (39B05)

Related Items (7)

Generalized sine equations. I ⋮ Generalized sine equations. II ⋮ Regularization and general methods in the theory of functional equations ⋮ On the functional equation f(x)g(y)=h(ax+by)k(cx+dy) ⋮ On the functional equation f(x)g(y) = p(s+y)q(x/y) ⋮ The Skitovich-Darmois equation in the classes of continuous and measurable functions ⋮ Note on the equation \(f(x)g(y)=h(ax+by)k(cx+dy)\) and generalized quadratic polynomials

Cites Work

• Generalized Gaussian measure and a 'functional equation'. I
• Generalized Gaussian measures and a 'functional equation'. II
• On single-product functions with rotational symmetry
• A General Functional Equation
• Regularity properties of functional equations
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