Encyclopedia > G > Gelfand pair
Gelfand pair
In mathematics, a pair (G,K) consisting of a locally compact group G which is unimodular, and a subgroup K which is a compact group, is a Gelfand pair when, roughly speaking, the (K,K)-double cosets in G commute. More precisely, the algebra of functions on G, of compact support, which are invariant under translation on either side by K, should be commutative for the convolution on G (for Haar measure).
Information are taken from Wikipedia, the open encyclopedia, to which contribute many volunteers from around the whole world. Texts are available under the following conditions GNU Free Documentation License.
Encyklopedie (cz) Encyklopédia (sk) Enzyklopädie (de)