Local trace formula
Encyclopedia
In mathematics, the local trace formula is a local analogue of the Arthur–Selberg trace formula
that describes the character of the representation of G(F) on the discrete part of L2(G(F)), for G a reductive algebraic group over a local field
F.
Arthur–Selberg trace formula
In mathematics, the Arthur–Selberg trace formula is a generalization of the Selberg trace formula from the group SL2 to arbitrary reductive groups over global fields, developed by James Arthur in a long series of papers from 1974 to 2003....
that describes the character of the representation of G(F) on the discrete part of L2(G(F)), for G a reductive algebraic group over a local field
Local field
In mathematics, a local field is a special type of field that is a locally compact topological field with respect to a non-discrete topology.Given such a field, an absolute value can be defined on it. There are two basic types of local field: those in which the absolute value is archimedean and...
F.