POSITION-FREQUENCY ANALYSIS FOR SIGNALS DEFINED ON SPHERES

Time-frequency representations are often very useful tools for the ana lysis of signals in which local frequencies can be extracted. They are usually defined for signals defined on flat spaces (of the form R or R(n)). It is shown here how the same kind of methods can be developed to construct phase-space representation theorems for functions defined on more general spaces, in particular the circle and the spheres.