Discrete Series

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:Number_theory
gptkb:Automorphic_forms
Spectral theory
gptkbp:defines A class of irreducible unitary representations of a semisimple Lie group that occur discretely in the decomposition of the regular representation on L^2(G)
gptkbp:example Discrete series representations of SL(2,R)
gptkbp:field gptkb:Mathematics
https://www.w3.org/2000/01/rdf-schema#label Discrete Series
gptkbp:introduced gptkb:Harish-Chandra
gptkbp:property Isolated in the unitary dual
Square-integrable modulo center
gptkbp:relatedTo gptkb:Lie_groups
gptkb:Representation_theory
Harmonic analysis
gptkbp:seeAlso Principal series representation
Tempered representation
gptkbp:bfsParent gptkb:George_Oppen
gptkbp:bfsLayer 7