DBpedia – Linked Data Fragments

Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Peter–Weyl_theorem> ?p ?o }

• Peter–Weyl_theorem abstract "In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not necessarily abelian. It was initially proved by Hermann Weyl, with his student Fritz Peter, in the setting of a compact topological group G (Peter & Weyl 1927). The theorem is a collection of results generalizing the significant facts about the decomposition of the regular representation of any finite group, as discovered by F. G. Frobenius and Issai Schur.The theorem has three parts. The first part states that the matrix coefficients of irreducible representations of G are dense in the space C(G) of continuous complex-valued functions on G, and thus also in the space L2(G) of square-integrable functions. The second part asserts the complete reducibility of unitary representations of G. The third part then asserts that the regular representation of G on L2(G) decomposes as the direct sum of all irreducible unitary representations. Moreover, the matrix coefficients of the irreducible unitary representations form an orthonormal basis of L2(G).".
• Peter–Weyl_theorem wikiPageID "294474".
• Peter–Weyl_theorem wikiPageLength "9834".
• Peter–Weyl_theorem wikiPageOutDegree "56".
• Peter–Weyl_theorem wikiPageRevisionID "640511524".
• Peter–Weyl_theorem wikiPageWikiLink Abelian_group.
• Peter–Weyl_theorem wikiPageWikiLink Cartans_theorem.
• Peter–Weyl_theorem wikiPageWikiLink Category:Theorems_in_group_theory.
• Peter–Weyl_theorem wikiPageWikiLink Category:Theorems_in_harmonic_analysis.
• Peter–Weyl_theorem wikiPageWikiLink Category:Theorems_in_representation_theory.
• Peter–Weyl_theorem wikiPageWikiLink Category:Topological_groups.
• Peter–Weyl_theorem wikiPageWikiLink Category:Unitary_representation_theory.
• Peter–Weyl_theorem wikiPageWikiLink Category_theory.
• Peter–Weyl_theorem wikiPageWikiLink Circle_group.
• Peter–Weyl_theorem wikiPageWikiLink Closure_(topology).
• Peter–Weyl_theorem wikiPageWikiLink Compact_group.
• Peter–Weyl_theorem wikiPageWikiLink Complex-valued_function.
• Peter–Weyl_theorem wikiPageWikiLink Continuous_function.
• Peter–Weyl_theorem wikiPageWikiLink Continuous_functions_on_a_compact_Hausdorff_space.
• Peter–Weyl_theorem wikiPageWikiLink Dense_set.
• Peter–Weyl_theorem wikiPageWikiLink Direct_sum.
• Peter–Weyl_theorem wikiPageWikiLink Direct_sum_of_representations.
• Peter–Weyl_theorem wikiPageWikiLink Endomorphism.
• Peter–Weyl_theorem wikiPageWikiLink F._G._Frobenius.
• Peter–Weyl_theorem wikiPageWikiLink Ferdinand_Georg_Frobenius.
• Peter–Weyl_theorem wikiPageWikiLink Finite_group.
• Peter–Weyl_theorem wikiPageWikiLink Fritz_Peter.
• Peter–Weyl_theorem wikiPageWikiLink Group_action.
• Peter–Weyl_theorem wikiPageWikiLink Group_homomorphism.
• Peter–Weyl_theorem wikiPageWikiLink Group_homomorphisms.
• Peter–Weyl_theorem wikiPageWikiLink Group_representation.
• Peter–Weyl_theorem wikiPageWikiLink Haar_measure.
• Peter–Weyl_theorem wikiPageWikiLink Harmonic_analysis.
• Peter–Weyl_theorem wikiPageWikiLink Hausdorff_space.
• Peter–Weyl_theorem wikiPageWikiLink Hermann_Weyl.
• Peter–Weyl_theorem wikiPageWikiLink Irreducible_representation.
• Peter–Weyl_theorem wikiPageWikiLink Issai_Schur.
• Peter–Weyl_theorem wikiPageWikiLink Lie_group.
• Peter–Weyl_theorem wikiPageWikiLink Linear_form.
• Peter–Weyl_theorem wikiPageWikiLink Linear_functional.
• Peter–Weyl_theorem wikiPageWikiLink Lp_space.
• Peter–Weyl_theorem wikiPageWikiLink Mathematics.
• Peter–Weyl_theorem wikiPageWikiLink Matrix_coefficient.
• Peter–Weyl_theorem wikiPageWikiLink Matrix_group.
• Peter–Weyl_theorem wikiPageWikiLink Orthonormal_basis.
• Peter–Weyl_theorem wikiPageWikiLink Pontryagin_duality.
• Peter–Weyl_theorem wikiPageWikiLink Profinite_group.
• Peter–Weyl_theorem wikiPageWikiLink Regular_representation.
• Peter–Weyl_theorem wikiPageWikiLink Square-integrable_function.
• Peter–Weyl_theorem wikiPageWikiLink Stone-Weierstrass_theorem.
• Peter–Weyl_theorem wikiPageWikiLink Stone–Weierstrass_theorem.
• Peter–Weyl_theorem wikiPageWikiLink Strong_topology.
• Peter–Weyl_theorem wikiPageWikiLink Topological_group.
• Peter–Weyl_theorem wikiPageWikiLink Uniform_norm.
• Peter–Weyl_theorem wikiPageWikiLink Unitary_operator.
• Peter–Weyl_theorem wikiPageWikiLink Unitary_representation.
• Peter–Weyl_theorem wikiPageWikiLink Élie_Cartan.
• Peter–Weyl_theorem wikiPageWikiLinkText "Peter–Weyl theorem".
• Peter–Weyl_theorem wikiPageWikiLinkText "Peter–Weyl theorem".
• Peter–Weyl_theorem hasPhotoCollection Peter–Weyl_theorem.
• Peter–Weyl_theorem id "p/p072440".
• Peter–Weyl_theorem title "Peter-Weyl theorem".
• Peter–Weyl_theorem wikiPageUsesTemplate Template:Citation.
• Peter–Weyl_theorem wikiPageUsesTemplate Template:Harv.
• Peter–Weyl_theorem wikiPageUsesTemplate Template:Harvnb.
• Peter–Weyl_theorem wikiPageUsesTemplate Template:Springer.
• Peter–Weyl_theorem subject Category:Theorems_in_group_theory.
• Peter–Weyl_theorem subject Category:Theorems_in_harmonic_analysis.
• Peter–Weyl_theorem subject Category:Theorems_in_representation_theory.
• Peter–Weyl_theorem subject Category:Topological_groups.
• Peter–Weyl_theorem subject Category:Unitary_representation_theory.
• Peter–Weyl_theorem comment "In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not necessarily abelian. It was initially proved by Hermann Weyl, with his student Fritz Peter, in the setting of a compact topological group G (Peter & Weyl 1927). The theorem is a collection of results generalizing the significant facts about the decomposition of the regular representation of any finite group, as discovered by F. G.".
• Peter–Weyl_theorem label "Peter–Weyl theorem".
• Peter–Weyl_theorem sameAs Satz_von_Peter-Weyl.
• Peter–Weyl_theorem sameAs Teorema_de_Peter-Weyl.
• Peter–Weyl_theorem sameAs Teorema_di_Peter-Weyl.
• Peter–Weyl_theorem sameAs 페터-바일_정리.
• Peter–Weyl_theorem sameAs Teorema_de_Peter-Weyl.
• Peter–Weyl_theorem sameAs m.01r0vy.
• Peter–Weyl_theorem sameAs Q1529941.
• Peter–Weyl_theorem sameAs Q1529941.
• Peter–Weyl_theorem wasDerivedFrom Peter–Weyl_theorem?oldid=640511524.
• Peter–Weyl_theorem isPrimaryTopicOf Peter–Weyl_theorem.