Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine

Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Complex analysis and operator theory 2021-03, Vol.15 (2), Article 33
Hauptverfasser: Jin, Ming, Ren, Guangbin
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 2
container_start_page
container_title Complex analysis and operator theory
container_volume 15
creator Jin, Ming
Ren, Guangbin
description Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued, in contrast to the associative case. The global Plemelj jump formula is established on the boundary of any axially symmetric domain of octonions.
doi_str_mv 10.1007/s11785-020-01054-7
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2485528408</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2485528408</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-1e6b6008fedb6396b07721ee235e90aa191b9a93b81789bfb5e0e8ce0883f4303</originalsourceid><addsrcrecordid>eNp9kMtOwzAQRS0EEqXwA6wssQ6MncSPJSq0IFUUqbC27DCBVG4c7FTA3xMIgh2rmcU9dzSHkFMG5wxAXiTGpCoz4JABg7LI5B6ZMCFYprjg-797WRySo5Q2AAKk1hNyt_DBWU_vPW7Rb-g8xO3OWxpquvZNhfSqibaiqw6j7UOkTUtXVR_aJrSJvjX9C52Fbefxna67psVjclBbn_DkZ07J4_z6YXaTLVeL29nlMqu4hD5jKJwAUDU-OZFr4UBKzhB5XqIGa5lmTludOzW8pV3tSgRUFYJSeV3kkE_J2djbxfC6w9SbTdjFdjhpeKHKkqsC1JDiY6qKIaWItelis7XxwzAwX97M6M0M3sy3NyMHKB-hNITbZ4x_1f9Qn_Opby8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2485528408</pqid></control><display><type>article</type><title>Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine</title><source>Springer Nature - Complete Springer Journals</source><creator>Jin, Ming ; Ren, Guangbin</creator><creatorcontrib>Jin, Ming ; Ren, Guangbin</creatorcontrib><description>Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued, in contrast to the associative case. The global Plemelj jump formula is established on the boundary of any axially symmetric domain of octonions.</description><identifier>ISSN: 1661-8254</identifier><identifier>EISSN: 1661-8262</identifier><identifier>DOI: 10.1007/s11785-020-01054-7</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Higher Dimensional Geometric Function Theory and Hypercomplex Analysis ; Mathematics ; Mathematics and Statistics ; Operator Theory ; Operators (mathematics)</subject><ispartof>Complex analysis and operator theory, 2021-03, Vol.15 (2), Article 33</ispartof><rights>Springer Nature Switzerland AG 2021</rights><rights>Springer Nature Switzerland AG 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-1e6b6008fedb6396b07721ee235e90aa191b9a93b81789bfb5e0e8ce0883f4303</cites><orcidid>0000-0001-7252-6202</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11785-020-01054-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11785-020-01054-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Jin, Ming</creatorcontrib><creatorcontrib>Ren, Guangbin</creatorcontrib><title>Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine</title><title>Complex analysis and operator theory</title><addtitle>Complex Anal. Oper. Theory</addtitle><description>Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued, in contrast to the associative case. The global Plemelj jump formula is established on the boundary of any axially symmetric domain of octonions.</description><subject>Analysis</subject><subject>Higher Dimensional Geometric Function Theory and Hypercomplex Analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operator Theory</subject><subject>Operators (mathematics)</subject><issn>1661-8254</issn><issn>1661-8262</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAQRS0EEqXwA6wssQ6MncSPJSq0IFUUqbC27DCBVG4c7FTA3xMIgh2rmcU9dzSHkFMG5wxAXiTGpCoz4JABg7LI5B6ZMCFYprjg-797WRySo5Q2AAKk1hNyt_DBWU_vPW7Rb-g8xO3OWxpquvZNhfSqibaiqw6j7UOkTUtXVR_aJrSJvjX9C52Fbefxna67psVjclBbn_DkZ07J4_z6YXaTLVeL29nlMqu4hD5jKJwAUDU-OZFr4UBKzhB5XqIGa5lmTludOzW8pV3tSgRUFYJSeV3kkE_J2djbxfC6w9SbTdjFdjhpeKHKkqsC1JDiY6qKIaWItelis7XxwzAwX97M6M0M3sy3NyMHKB-hNITbZ4x_1f9Qn_Opby8</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Jin, Ming</creator><creator>Ren, Guangbin</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-7252-6202</orcidid></search><sort><creationdate>20210301</creationdate><title>Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine</title><author>Jin, Ming ; Ren, Guangbin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-1e6b6008fedb6396b07721ee235e90aa191b9a93b81789bfb5e0e8ce0883f4303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Analysis</topic><topic>Higher Dimensional Geometric Function Theory and Hypercomplex Analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operator Theory</topic><topic>Operators (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jin, Ming</creatorcontrib><creatorcontrib>Ren, Guangbin</creatorcontrib><collection>CrossRef</collection><jtitle>Complex analysis and operator theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jin, Ming</au><au>Ren, Guangbin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine</atitle><jtitle>Complex analysis and operator theory</jtitle><stitle>Complex Anal. Oper. Theory</stitle><date>2021-03-01</date><risdate>2021</risdate><volume>15</volume><issue>2</issue><artnum>33</artnum><issn>1661-8254</issn><eissn>1661-8262</eissn><abstract>Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued, in contrast to the associative case. The global Plemelj jump formula is established on the boundary of any axially symmetric domain of octonions.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s11785-020-01054-7</doi><orcidid>https://orcid.org/0000-0001-7252-6202</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1661-8254
ispartof Complex analysis and operator theory, 2021-03, Vol.15 (2), Article 33
issn 1661-8254
1661-8262
language eng
recordid cdi_proquest_journals_2485528408
source Springer Nature - Complete Springer Journals
subjects Analysis
Higher Dimensional Geometric Function Theory and Hypercomplex Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Operators (mathematics)
title Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-01T00%3A13%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Global%20Plemelj%20Formula%20of%20Slice%20Dirac%20Operator%20in%20Octonions%20with%20Complex%20Spine&rft.jtitle=Complex%20analysis%20and%20operator%20theory&rft.au=Jin,%20Ming&rft.date=2021-03-01&rft.volume=15&rft.issue=2&rft.artnum=33&rft.issn=1661-8254&rft.eissn=1661-8262&rft_id=info:doi/10.1007/s11785-020-01054-7&rft_dat=%3Cproquest_cross%3E2485528408%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2485528408&rft_id=info:pmid/&rfr_iscdi=true