SISSA-ISAS, via Beirut 2–4, 34014 Trieste, Italy and?Dipartimento Interuniversitario di Matematica, via E. Orabona 4, 70125 Bari, Italy.?E-mail: dambros@dm.uniba.it, IT
Abstract:
Necessary and sufficient conditions are given that answer the following questions: When does an integer valued (real valued)
g-additive function have a limit distribution modulo an integer (modulo 1)? When are the limit distributions continuous or
uniform? When is a complex valued g-additive function almost periodic?
Received: 6 February 2001 / Revised version: 30 May 2001