Distributions on Minkowski space and their connection with analytic representations of the conformal group
Identifieur interne : 001119 ( Istex/Corpus ); précédent : 001118; suivant : 001120Distributions on Minkowski space and their connection with analytic representations of the conformal group
Auteurs : W. RühlSource :
- Communications in Mathematical Physics [ 0010-3616 ] ; 1972-03-01.
Abstract
Abstract: Unitary analytic representations of the conformal group are relized on Hilbert spaces of holomoprhic or antiholomorphic functions over a tube domain in complex Minkowski space. The distributional boundary values of these functions are tempered distributions on real Minkowski space. The representations are characterized by an integral scale dimension labeln and two spin labelsj 1 andj 2. The connection between the dimensionn and the degree of singularity of the tempered distribution is investigated. We propose an application to inclusive reactions of elementary particles.
Url:
DOI: 10.1007/BF01649659
Links to Exploration step
ISTEX:B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Distributions on Minkowski space and their connection with analytic representations of the conformal group</title><author><name sortKey="Ruhl, W" sort="Ruhl, W" uniqKey="Ruhl W" first="W." last="Rühl">W. Rühl</name><affiliation><mods:affiliation>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908</idno><date when="1972" year="1972">1972</date><idno type="doi">10.1007/BF01649659</idno><idno type="url">https://api.istex.fr/document/B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001119</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001119</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Distributions on Minkowski space and their connection with analytic representations of the conformal group</title><author><name sortKey="Ruhl, W" sort="Ruhl, W" uniqKey="Ruhl W" first="W." last="Rühl">W. Rühl</name><affiliation><mods:affiliation>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Communications in Mathematical Physics</title><title level="j" type="abbrev">Commun.Math. Phys.</title><idno type="ISSN">0010-3616</idno><idno type="eISSN">1432-0916</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>Berlin/Heidelberg</pubPlace><date type="published" when="1972-03-01">1972-03-01</date><biblScope unit="volume">27</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="53">53</biblScope><biblScope unit="page" to="86">86</biblScope></imprint><idno type="ISSN">0010-3616</idno></series><idno type="istex">B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908</idno><idno type="DOI">10.1007/BF01649659</idno><idno type="ArticleID">BF01649659</idno><idno type="ArticleID">Art6</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0010-3616</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Unitary analytic representations of the conformal group are relized on Hilbert spaces of holomoprhic or antiholomorphic functions over a tube domain in complex Minkowski space. The distributional boundary values of these functions are tempered distributions on real Minkowski space. The representations are characterized by an integral scale dimension labeln and two spin labelsj 1 andj 2. The connection between the dimensionn and the degree of singularity of the tempered distribution is investigated. We propose an application to inclusive reactions of elementary particles.</div></front></TEI><istex><corpusName>springer</corpusName><author><json:item><name>W. Rühl</name><affiliations><json:string>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</json:string></affiliations></json:item></author><articleId><json:string>BF01649659</json:string><json:string>Art6</json:string></articleId><language><json:string>eng</json:string></language><originalGenre><json:string>OriginalPaper</json:string></originalGenre><abstract>Abstract: Unitary analytic representations of the conformal group are relized on Hilbert spaces of holomoprhic or antiholomorphic functions over a tube domain in complex Minkowski space. The distributional boundary values of these functions are tempered distributions on real Minkowski space. The representations are characterized by an integral scale dimension labeln and two spin labelsj 1 andj 2. The connection between the dimensionn and the degree of singularity of the tempered distribution is investigated. We propose an application to inclusive reactions of elementary particles.</abstract><qualityIndicators><score>5.996</score><pdfVersion>1.3</pdfVersion><pdfPageSize>432 x 656 pts</pdfPageSize><refBibsNative>false</refBibsNative><keywordCount>0</keywordCount><abstractCharCount>587</abstractCharCount><pdfWordCount>9509</pdfWordCount><pdfCharCount>44984</pdfCharCount><pdfPageCount>34</pdfPageCount><abstractWordCount>83</abstractWordCount></qualityIndicators><title>Distributions on Minkowski space and their connection with analytic representations of the conformal group</title><refBibs><json:item><author><json:item><name>M,L Graev</name></json:item></author><host><volume>98</volume><pages><first>517</first></pages><author></author><title>Dokl. Akad. Nauk SSSR</title><publicationDate>1954</publicationDate></host><publicationDate>1954</publicationDate></json:item><json:item><author><json:item><name>A Esteve</name></json:item><json:item><name>P,G Sona</name></json:item></author><host><volume>32</volume><pages><first>473</first></pages><author></author><title>Nuovo Cimento</title><publicationDate>1964</publicationDate></host><publicationDate>1964</publicationDate></json:item><json:item><author><json:item><name>W Rfihl</name></json:item></author><host><pages><last>29</last><first>2</first></pages><author></author><title>The Lorentz Group and Harmonic Analysis, eq</title><publicationDate>1970</publicationDate></host><publicationDate>1970</publicationDate></json:item><json:item><author><json:item><name>H Meschkowski</name></json:item></author><host><volume>113</volume><author></author><title>Grundl. Math. Wiss. Bd</title><publicationDate>1962</publicationDate></host><title>Hilbertsche R~iume mit Kernfunktion</title><publicationDate>1962</publicationDate></json:item><json:item><author><json:item><name>G K6the</name></json:item></author><host><volume>57</volume><pages><first>30</first></pages><issue>191</issue><author></author><title>Math. Z. J. r. angew. Math</title><publicationDate>1952</publicationDate></host><publicationDate>1952</publicationDate></json:item><json:item><author><json:item><name>H,G Tillmann</name></json:item></author><host><volume>59</volume><pages><last>25</last><first>61</first></pages><issue>77</issue><author></author><title>Math. Z</title><publicationDate>1953</publicationDate></host><publicationDate>1953</publicationDate></json:item><json:item><host><pages><first>224</first></pages><author><json:item><name>M,A Neumark</name></json:item></author><title>Normierte Algebren</title></host></json:item><json:item><author><json:item><name>L Schwartz</name></json:item></author><host><author></author><title>Th6orie des Distributions</title><publicationDate>1966</publicationDate></host><publicationDate>1966</publicationDate></json:item><json:item><author><json:item><name>R,F Streater</name></json:item><json:item><name>A,S Wightman</name></json:item></author><host><author></author><title>PCT, Spin and Statistics, and All That</title></host></json:item><json:item><author><json:item><name>G Mack</name></json:item><json:item><name>A Salam</name></json:item></author><host><volume>53</volume><pages><first>174</first></pages><author></author><title>Ann. Phys</title><publicationDate>1969</publicationDate></host><publicationDate>1969</publicationDate></json:item><json:item><author><json:item><name>A,H Mueller</name></json:item></author><host><volume>2</volume><pages><first>2963</first></pages><author></author><title>Phys. Rev</title><publicationDate>1971</publicationDate></host><publicationDate>1971</publicationDate></json:item><json:item><author><json:item><name>Y Frishman</name></json:item></author><host><volume>66</volume><pages><first>373</first></pages><author></author><title>Ann. Phys</title></host></json:item><json:item><author><json:item><name>V,F Mtiller</name></json:item><json:item><name>W Rtihl</name></json:item></author><host><author></author><title>W. Rfihl Universit~it Trier-Kaiserslautern Fachbereich Physik D-6750 Kaiserslautern Pfaffenbergstrage 95</title><publicationDate>1971-11</publicationDate></host><title>University of Trier-Kaiserslautern preprint</title><publicationDate>1971-11</publicationDate></json:item><json:item><author></author><host><author></author><title>Germany</title></host></json:item></refBibs><genre><json:string>research-article</json:string></genre><host><volume>27</volume><pages><last>86</last><first>53</first></pages><issn><json:string>0010-3616</json:string></issn><issue>1</issue><subject><json:item><value>Quantum Physics</value></json:item><json:item><value>Mathematical and Computational Physics</value></json:item><json:item><value>Quantum Computing, Information and Physics</value></json:item><json:item><value>Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks</value></json:item><json:item><value>Statistical Physics</value></json:item><json:item><value>Relativity and Cosmology</value></json:item></subject><journalId><json:string>220</json:string></journalId><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><eissn><json:string>1432-0916</json:string></eissn><title>Communications in Mathematical Physics</title><publicationDate>1972</publicationDate><copyrightDate>1972</copyrightDate></host><categories><wos><json:string>science</json:string><json:string>physics, mathematical</json:string></wos><scienceMetrix><json:string>natural sciences</json:string><json:string>physics & astronomy</json:string><json:string>mathematical physics</json:string></scienceMetrix></categories><publicationDate>1972</publicationDate><copyrightDate>1972</copyrightDate><doi><json:string>10.1007/BF01649659</json:string></doi><id>B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908</id><score>1.3859881</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Distributions on Minkowski space and their connection with analytic representations of the conformal group</title><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt><respStmt><resp>Références bibliographiques récupérées via GROBID</resp><name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name></respStmt></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>Springer-Verlag</publisher><pubPlace>Berlin/Heidelberg</pubPlace><availability><p>Springer-Verlag, 1972</p></availability><date>1972-03-16</date></publicationStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Distributions on Minkowski space and their connection with analytic representations of the conformal group</title><author xml:id="author-1"><persName><forename type="first">W.</forename><surname>Rühl</surname></persName><affiliation>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</affiliation></author></analytic><monogr><title level="j">Communications in Mathematical Physics</title><title level="j" type="abbrev">Commun.Math. Phys.</title><idno type="journal-ID">220</idno><idno type="pISSN">0010-3616</idno><idno type="eISSN">1432-0916</idno><idno type="issue-article-count">6</idno><idno type="volume-issue-count">4</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>Berlin/Heidelberg</pubPlace><date type="published" when="1972-03-01"></date><biblScope unit="volume">27</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="53">53</biblScope><biblScope unit="page" to="86">86</biblScope></imprint></monogr><idno type="istex">B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908</idno><idno type="DOI">10.1007/BF01649659</idno><idno type="ArticleID">BF01649659</idno><idno type="ArticleID">Art6</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1972-03-16</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>Abstract: Unitary analytic representations of the conformal group are relized on Hilbert spaces of holomoprhic or antiholomorphic functions over a tube domain in complex Minkowski space. The distributional boundary values of these functions are tempered distributions on real Minkowski space. The representations are characterized by an integral scale dimension labeln and two spin labelsj 1 andj 2. The connection between the dimensionn and the degree of singularity of the tempered distribution is investigated. We propose an application to inclusive reactions of elementary particles.</p></abstract><textClass><keywords scheme="Journal Subject"><list><head>Physics</head><item><term>Quantum Physics</term></item><item><term>Mathematical and Computational Physics</term></item><item><term>Quantum Computing, Information and Physics</term></item><item><term>Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks</term></item><item><term>Statistical Physics</term></item><item><term>Relativity and Cosmology</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1972-03-16">Created</change><change when="1972-03-01">Published</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2016-11-22">References added</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-01-20">References added</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="Springer, Publisher found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType><istex:document><Publisher><PublisherInfo><PublisherName>Springer-Verlag</PublisherName><PublisherLocation>Berlin/Heidelberg</PublisherLocation></PublisherInfo><Journal><JournalInfo JournalProductType="ArchiveJournal" NumberingStyle="Unnumbered"><JournalID>220</JournalID><JournalPrintISSN>0010-3616</JournalPrintISSN><JournalElectronicISSN>1432-0916</JournalElectronicISSN><JournalTitle>Communications in Mathematical Physics</JournalTitle><JournalAbbreviatedTitle>Commun.Math. Phys.</JournalAbbreviatedTitle><JournalSubjectGroup><JournalSubject Type="Primary">Physics</JournalSubject><JournalSubject Type="Secondary">Quantum Physics</JournalSubject><JournalSubject Type="Secondary">Mathematical and Computational Physics</JournalSubject><JournalSubject Type="Secondary">Quantum Computing, Information and Physics</JournalSubject><JournalSubject Type="Secondary">Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks</JournalSubject><JournalSubject Type="Secondary">Statistical Physics</JournalSubject><JournalSubject Type="Secondary">Relativity and Cosmology</JournalSubject></JournalSubjectGroup></JournalInfo><Volume><VolumeInfo VolumeType="Regular" TocLevels="0"><VolumeIDStart>27</VolumeIDStart><VolumeIDEnd>27</VolumeIDEnd><VolumeIssueCount>4</VolumeIssueCount></VolumeInfo><Issue IssueType="Regular"><IssueInfo TocLevels="0"><IssueIDStart>1</IssueIDStart><IssueIDEnd>1</IssueIDEnd><IssueArticleCount>6</IssueArticleCount><IssueHistory><CoverDate><DateString>1972</DateString><Year>1972</Year><Month>3</Month></CoverDate></IssueHistory><IssueCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName><CopyrightYear>1972</CopyrightYear></IssueCopyright></IssueInfo><Article ID="Art6"><ArticleInfo Language="En" ArticleType="OriginalPaper" NumberingStyle="Unnumbered" TocLevels="0" ContainsESM="No"><ArticleID>BF01649659</ArticleID><ArticleDOI>10.1007/BF01649659</ArticleDOI><ArticleSequenceNumber>6</ArticleSequenceNumber><ArticleTitle Language="En">Distributions on Minkowski space and their connection with analytic representations of the conformal group</ArticleTitle><ArticleFirstPage>53</ArticleFirstPage><ArticleLastPage>86</ArticleLastPage><ArticleHistory><RegistrationDate><Year>2005</Year><Month>4</Month><Day>23</Day></RegistrationDate><Received><Year>1972</Year><Month>3</Month><Day>16</Day></Received></ArticleHistory><ArticleCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName><CopyrightYear>1972</CopyrightYear></ArticleCopyright><ArticleGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ArticleGrants><ArticleContext><JournalID>220</JournalID><VolumeIDStart>27</VolumeIDStart><VolumeIDEnd>27</VolumeIDEnd><IssueIDStart>1</IssueIDStart><IssueIDEnd>1</IssueIDEnd></ArticleContext></ArticleInfo><ArticleHeader><AuthorGroup><Author AffiliationIDS="Aff1"><AuthorName DisplayOrder="Western"><GivenName>W.</GivenName><FamilyName>Rühl</FamilyName></AuthorName></Author><Affiliation ID="Aff1"><OrgDivision>Fachbereich Physik</OrgDivision><OrgName>Universität Trier-Kaiserslautern</OrgName><OrgAddress><City>Kaiserslautern</City></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>Unitary analytic representations of the conformal group are relized on Hilbert spaces of holomoprhic or antiholomorphic functions over a tube domain in complex Minkowski space. The distributional boundary values of these functions are tempered distributions on real Minkowski space. The representations are characterized by an integral scale dimension label<Emphasis Type="Italic">n</Emphasis> and two spin labels<Emphasis Type="Italic">j</Emphasis><Subscript>1</Subscript> and<Emphasis Type="Italic">j</Emphasis><Subscript>2</Subscript>. The connection between the dimension<Emphasis Type="Italic">n</Emphasis> and the degree of singularity of the tempered distribution is investigated. We propose an application to inclusive reactions of elementary particles.</Para></Abstract></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Distributions on Minkowski space and their connection with analytic representations of the conformal group</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Distributions on Minkowski space and their connection with analytic representations of the conformal group</title></titleInfo><name type="personal"><namePart type="given">W.</namePart><namePart type="family">Rühl</namePart><affiliation>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper"></genre><originInfo><publisher>Springer-Verlag</publisher><place><placeTerm type="text">Berlin/Heidelberg</placeTerm></place><dateCreated encoding="w3cdtf">1972-03-16</dateCreated><dateIssued encoding="w3cdtf">1972-03-01</dateIssued><copyrightDate encoding="w3cdtf">1972</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">Abstract: Unitary analytic representations of the conformal group are relized on Hilbert spaces of holomoprhic or antiholomorphic functions over a tube domain in complex Minkowski space. The distributional boundary values of these functions are tempered distributions on real Minkowski space. The representations are characterized by an integral scale dimension labeln and two spin labelsj 1 andj 2. The connection between the dimensionn and the degree of singularity of the tempered distribution is investigated. We propose an application to inclusive reactions of elementary particles.</abstract><relatedItem type="host"><titleInfo><title>Communications in Mathematical Physics</title></titleInfo><titleInfo type="abbreviated"><title>Commun.Math. Phys.</title></titleInfo><genre type="journal" displayLabel="Archive Journal"></genre><originInfo><dateIssued encoding="w3cdtf">1972-03-01</dateIssued><copyrightDate encoding="w3cdtf">1972</copyrightDate></originInfo><subject><genre>Physics</genre><topic>Quantum Physics</topic><topic>Mathematical and Computational Physics</topic><topic>Quantum Computing, Information and Physics</topic><topic>Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks</topic><topic>Statistical Physics</topic><topic>Relativity and Cosmology</topic></subject><identifier type="ISSN">0010-3616</identifier><identifier type="eISSN">1432-0916</identifier><identifier type="JournalID">220</identifier><identifier type="IssueArticleCount">6</identifier><identifier type="VolumeIssueCount">4</identifier><part><date>1972</date><detail type="volume"><number>27</number><caption>vol.</caption></detail><detail type="issue"><number>1</number><caption>no.</caption></detail><extent unit="pages"><start>53</start><end>86</end></extent></part><recordInfo><recordOrigin>Springer-Verlag, 1972</recordOrigin></recordInfo></relatedItem><identifier type="istex">B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908</identifier><identifier type="DOI">10.1007/BF01649659</identifier><identifier type="ArticleID">BF01649659</identifier><identifier type="ArticleID">Art6</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag, 1972</accessCondition><recordInfo><recordContentSource>SPRINGER</recordContentSource><recordOrigin>Springer-Verlag, 1972</recordOrigin></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001119 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 001119 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Rhénanie
|area= UnivTrevesV1
|flux= Istex
|étape= Corpus
|type= RBID
|clé= ISTEX:B4B63D37D4A990C4A3E6D4E8CB0CF0E204C5C908
|texte= Distributions on Minkowski space and their connection with analytic representations of the conformal group
}}
| This area was generated with Dilib version V0.6.31. |  |