Pseudo almost periodic functions and their applications.

摘要

he space of pseudo almost periodic functions on ;A necessary and sufficient condition is given for the pseudo almost periodicity of the primitive of a function in ;The theory of vector-valued means is developed. A formula is set up between a vector-valued mean and a scalar-valued mean. As an application of the theory of vector-valued means, a theorem is given to show that the space of vector-valued weakly almost periodic functions is admissible.;As applications of the general theory of