Gelfand pair
= Gelfand pair
{wiki=Gelfand_pair}
In the field of harmonic analysis and representation theory, a **Gelfand pair** is a specific type of mathematical structure that arises when studying the representations of groups. More concretely, a Gelfand pair consists of a pair of groups (typically a group \\( G \\) and a subgroup \\( H \\)) such that the algebra of \\( H \\)-invariant functions on \\( G \\) is particularly "nice" for some representation theory considerations.