Generalized functions on adeles. Linear and non-linear theories
Banach Center Publications 88 (2010), 243-250 MSC: Primary 43A70; Secondary 46F30. DOI: 10.4064/bc88-0-19
We consider various generalizations of linear homogeneous distributions on adeles and construct a number of algebras of non-linear generalized functions on adeles and totally disconnected groups such as the discrete adeles.