Athanasios G. Georgiadis: Analysis on metric spaces associated with operators

Abstract: The study of functions and their spaces, is decisive in many aspects of mathematics and other sciences. According to the problem under study, the domain of the functions can be Euclidean space, the ball, the sphere or manifolds. At this talk we will present a general setting covering the above mentioned ones and we study functions on it. Precisely we introduce, test functions, distributions, polynomials and function spaces.