Report of Meeting: The Thirty-third International Symposium on Functional Equations, May 21-May 27, 1995, Caldes de Malavella, Catalonia, Spain.
We prove a stochastic formula for the Gaussian relative entropy in the spirit of Borell’s formula for the Laplace transform. As an application, we give simple proofs of a number of functional inequalities.
Strengthened forms of Ling's representation theorem concerning a class of continuous associative functions are given: Firstly the monotonicity condition is removed. Then the associativity condition is replaced by the power associativity.