Invariant functionals
Identifieur interne : 002B97 ( Main/Exploration ); précédent : 002B96; suivant : 002B98Invariant functionals
Auteurs : Edwin Hewitt [États-Unis] ; Kenneth A. Ross [États-Unis]Source :
Abstract
Abstract: Invariant functionals, measures, and integrals are a vital tool in studying representations of locally compact groups and in establishing the detailed structure of locally compact Abelian groups. They also provide the function algebras and function spaces that are studied in harmonic analysis. The subject of invariant functionals is large, and we cannot treat it with any completeness. In §15, we construct the Haar integral, which is essential for all of our subsequent work. In §16, we give some technical but interesting facts about Haar measure, and in §§17 and 18, we follow some interesting by ways.
Url:
DOI: 10.1007/978-1-4419-8638-2_4
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000075
- to stream Istex, to step Curation: 000075
- to stream Istex, to step Checkpoint: 002955
- to stream Main, to step Merge: 002C25
- to stream Main, to step Curation: 002B97
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Invariant functionals</title><author><name sortKey="Hewitt, Edwin" sort="Hewitt, Edwin" uniqKey="Hewitt E" first="Edwin" last="Hewitt">Edwin Hewitt</name></author><author><name sortKey="Ross, Kenneth A" sort="Ross, Kenneth A" uniqKey="Ross K" first="Kenneth A." last="Ross">Kenneth A. Ross</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:04145C6B3B7AF27F403AA9220A3240E44C50F091</idno><date when="1979" year="1979">1979</date><idno type="doi">10.1007/978-1-4419-8638-2_4</idno><idno type="url">https://api.istex.fr/document/04145C6B3B7AF27F403AA9220A3240E44C50F091/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000075</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000075</idno><idno type="wicri:Area/Istex/Curation">000075</idno><idno type="wicri:Area/Istex/Checkpoint">002955</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">002955</idno><idno type="wicri:Area/Main/Merge">002C25</idno><idno type="wicri:Area/Main/Curation">002B97</idno><idno type="wicri:Area/Main/Exploration">002B97</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Invariant functionals</title><author><name sortKey="Hewitt, Edwin" sort="Hewitt, Edwin" uniqKey="Hewitt E" first="Edwin" last="Hewitt">Edwin Hewitt</name><affiliation wicri:level="4"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics GN-50, University of Washington, 98195, Seattle, WA</wicri:regionArea><placeName><region type="state">Washington (État)</region><settlement type="city">Seattle</settlement></placeName><orgName type="university">Université de Washington</orgName></affiliation></author><author><name sortKey="Ross, Kenneth A" sort="Ross, Kenneth A" uniqKey="Ross K" first="Kenneth A." last="Ross">Kenneth A. Ross</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, University of Oregon, 97403, Eugene, OR</wicri:regionArea><placeName><region type="state">Oregon</region></placeName></affiliation></author></analytic><monogr></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Invariant functionals, measures, and integrals are a vital tool in studying representations of locally compact groups and in establishing the detailed structure of locally compact Abelian groups. They also provide the function algebras and function spaces that are studied in harmonic analysis. The subject of invariant functionals is large, and we cannot treat it with any completeness. In §15, we construct the Haar integral, which is essential for all of our subsequent work. In §16, we give some technical but interesting facts about Haar measure, and in §§17 and 18, we follow some interesting by ways.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country><region><li>Oregon</li><li>Washington (État)</li></region><settlement><li>Seattle</li></settlement><orgName><li>Université de Washington</li></orgName></list><tree><country name="États-Unis"><region name="Washington (État)"><name sortKey="Hewitt, Edwin" sort="Hewitt, Edwin" uniqKey="Hewitt E" first="Edwin" last="Hewitt">Edwin Hewitt</name></region><name sortKey="Ross, Kenneth A" sort="Ross, Kenneth A" uniqKey="Ross K" first="Kenneth A." last="Ross">Kenneth A. Ross</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002B97 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002B97 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:04145C6B3B7AF27F403AA9220A3240E44C50F091
|texte= Invariant functionals
}}
| This area was generated with Dilib version V0.6.33. |  |