Contents: Introduction The Additive Cauchy Equation The Multiplicative Cauchy Equation Addition and Subtraction Formulas Levi - Civita's Functional Equation The Symmetrized Sine Addition Formula Equations with Symmetric Right Hand Side The Pre-d'Alembert Functional Equation d'Alembert's Functional Equation d'Alembert's Long Functional Equation Wilson's Functional Equation Jensen's Functional Equation The Quadratic Functional Equation K-Spherical Functions The Sine Functional Equation The Cocycle Equation Appendices: Basic Terminology and Results Substitutes for Commutativity The Casorati Determinant Regularity Matrix-Coefficients of Representations The Small Dimension Lemma Group Cohomology.
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