Functional Equations: History Applications and Theory

Essays. - 1. On history applications and theory of functional equations (Introduction). - 2. The esthetics and usefulness of functional equations. - 3. On the historical role of functional equations. - 4. Functional equation methods applied to economic problems: some examples. - 5. On multiple uses of some classical equations. - 6. On some unexpected theoretical and practical applications of functional equations. - 7. Functional equations on groupoids and related structures. - Papers. - 1. Some recent applications of functional equations. - 2. Groupoids with ?-kernels. - 3. The regularity of solutions of functional equations and hypoellipticity. - 4. An improvement of the Nevanlinna-Pólya theorem. - 5. On polynomials in additive and multiplicative functions. - 6. Truncations of distribution functions. - 7. Kurepa's functional equation on Gaussian semigroups. - 8. Some recent results on information measures a new generalization and some real life' interpretations of the old' and new measures. - 9. On a characterization of the Shannon concentration measure. - 10. Closed invariant curves of a noncontinuously differentiate recurrence. - 11. Invariant curves as solutions of functional equations. - 12. The cycle theorem for flows. Language: English