This HTML5 document contains 91 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dbpedia-dehttp://de.dbpedia.org/resource/
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n18https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
dbchttp://dbpedia.org/resource/Category:
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
goldhttp://purl.org/linguistics/gold/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Schwartz_kernel_theorem
rdf:type
yago:Function113783816 yago:Relation100031921 yago:Message106598915 yago:Abstraction100002137 yago:Theorem106752293 yago:Communication100033020 yago:WikicatTheoremsInFunctionalAnalysis yago:WikicatMathematicalTheorems yago:Proposition106750804 yago:Statement106722453 yago:MathematicalRelation113783581 yago:WikicatGeneralizedFunctions
rdfs:label
Schwartz kernel theorem Kernsatz von Schwartz
rdfs:comment
Der Kernsatz von Schwartz (oder Satz vom Kern) ist eine wichtige mathematische Aussage im Bereich der Distributionentheorie, welche ein Teilgebiet der Funktionalanalysis ist. Sie wurde von dem Mathematiker Laurent Schwartz im Jahr 1952 bewiesen. Diese Aussage wird jedoch nicht auf Grund ihrer Wichtigkeit Kernsatz genannt, sondern weil es sich um eine Aussage über Integralkerne handelt. Diese hier behandelten Integralkerne werden Schwartz-Kerne genannt. In mathematics, the Schwartz kernel theorem is a foundational result in the theory of generalized functions, published by Laurent Schwartz in 1952. It states, in broad terms, that the generalized functions introduced by Schwartz (Schwartz distributions) have a two-variable theory that includes all reasonable bilinear forms on the space of test functions. The space itself consists of smooth functions of compact support.
dcterms:subject
dbc:Theorems_in_functional_analysis dbc:Transforms dbc:Generalized_functions
dbo:wikiPageID
7646018
dbo:wikiPageRevisionID
1055904643
dbo:wikiPageWikiLink
dbr:Differential_operator dbc:Generalized_functions dbr:Nuclear_space dbr:Trace_class dbr:Kernel_function dbr:Nuclear_operator dbr:Generalized_function dbr:Fredholm_kernel dbr:Dual_space dbc:Theorems_in_functional_analysis dbr:Pseudo-differential_operator dbr:Alexander_Grothendieck dbr:Support_of_a_function dbr:Test_functions dbr:Rigged_Hilbert_space dbr:Jean_Dieudonné dbr:Dirac_delta_function dbr:Schwartz_distribution dbr:Functional_analysis dbr:Injective_tensor_product dbr:Smooth_function dbr:Bilinear_form dbr:Smooth_manifold dbr:Compact_support dbr:Laurent_Schwartz dbr:Compact_operator dbr:Mathematics dbr:Singular_support dbc:Transforms dbr:Projective_tensor_product dbr:Integral_operator
owl:sameAs
yago-res:Schwartz_kernel_theorem wikidata:Q1276318 freebase:m.0267qs6 n18:Jm5e dbpedia-de:Kernsatz_von_Schwartz
dbp:wikiPageUsesTemplate
dbt:Cite_book dbt:Functional_analysis dbt:Harvnb dbt:EquationNote dbt:Grothendieck_Produits_Tensoriels_Topologiques_et_Espaces_Nucléaires dbt:Springer dbt:NumBlk dbt:EquationRef dbt:Reflist dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels dbt:Schaefer_Wolff_Topological_Vector_Spaces dbt:Sfn
dbp:author
G. L. Litvinov
dbp:id
N/n067820
dbp:title
Nuclear bilinear form
dbo:abstract
Der Kernsatz von Schwartz (oder Satz vom Kern) ist eine wichtige mathematische Aussage im Bereich der Distributionentheorie, welche ein Teilgebiet der Funktionalanalysis ist. Sie wurde von dem Mathematiker Laurent Schwartz im Jahr 1952 bewiesen. Diese Aussage wird jedoch nicht auf Grund ihrer Wichtigkeit Kernsatz genannt, sondern weil es sich um eine Aussage über Integralkerne handelt. Diese hier behandelten Integralkerne werden Schwartz-Kerne genannt. In mathematics, the Schwartz kernel theorem is a foundational result in the theory of generalized functions, published by Laurent Schwartz in 1952. It states, in broad terms, that the generalized functions introduced by Schwartz (Schwartz distributions) have a two-variable theory that includes all reasonable bilinear forms on the space of test functions. The space itself consists of smooth functions of compact support.
gold:hypernym
dbr:Result
prov:wasDerivedFrom
wikipedia-en:Schwartz_kernel_theorem?oldid=1055904643&ns=0
dbo:wikiPageLength
7027
foaf:isPrimaryTopicOf
wikipedia-en:Schwartz_kernel_theorem
Subject Item
dbr:Valuation_(geometry)
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Integral_transform
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Nuclear_space
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Laurent_Schwartz
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
dbp:knownFor
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Spaces_of_test_functions_and_distributions
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Schwartz's_kernel_theorem
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
dbo:wikiPageRedirects
dbr:Schwartz_kernel_theorem
Subject Item
dbr:List_of_theorems
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Oscillatory_integral
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Schur_test
dbo:wikiPageWikiLink
dbr:Schwartz_kernel_theorem
Subject Item
dbr:Laurent_Schwartz__Laurent_Schwartz__1
dbo:knownFor
dbr:Schwartz_kernel_theorem
Subject Item
wikipedia-en:Schwartz_kernel_theorem
foaf:primaryTopic
dbr:Schwartz_kernel_theorem