Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact topological groups
|
| gptkbp:consequence |
every continuous function on a compact group can be uniformly approximated by finite linear combinations of matrix coefficients of irreducible representations
|
| gptkbp:field |
harmonic analysis
representation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Peter–Weyl theorem
|
| gptkbp:implies |
matrix coefficients of irreducible representations are dense in the space of continuous functions on the group
|
| gptkbp:namedAfter |
gptkb:Fritz_Peter
gptkb:Hermann_Weyl |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Pontryagin_duality
Fourier analysis orthonormal basis unitary representation |
| gptkbp:state |
the regular representation of a compact group decomposes into a direct sum of irreducible unitary representations
|
| gptkbp:year |
1927
|
| gptkbp:bfsParent |
gptkb:Fritz_Peter
gptkb:Lie_group gptkb:Lie_groups gptkb:Representation_theory |
| gptkbp:bfsLayer |
5
|