MEASURE-VALUED ALMOST-PERIODIC FUNCTIONS AND ALMOST-PERIODIC SELECTIONS OF MULTIVALUED MAPS

This article contains a study of Stepanov almost periodic selections o f multivalued maps t --> supp mu[.; t], t is an element of R. It is as sumed that for a.e. t is an element of R the measure mu[.; t] is a Rad on probability measure on a complete metric space and t --> supp mu[.; t], t is an element of R, is a measure-valued almost periodic functio n.