Spherical Designs via Brouwer Fixed Point Theorem

For each ... the authors prove the existence of a spherical t-design on Sd consisting of N points, where c^sub d^ is a constant depending only on d. (ProQuest: ... denotes formulae/symbols omitted.)

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SIAM journal on discrete mathematics 2010-01, Vol.24 (1), p.207-217
Hauptverfasser: Bondarenko, Andriy V, Viazovska, Maryna S
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 217
container_issue 1
container_start_page 207
container_title SIAM journal on discrete mathematics
container_volume 24
creator Bondarenko, Andriy V
Viazovska, Maryna S
description For each ... the authors prove the existence of a spherical t-design on Sd consisting of N points, where c^sub d^ is a constant depending only on d. (ProQuest: ... denotes formulae/symbols omitted.)
doi_str_mv 10.1137/080738313
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_901721630</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>901721630</sourcerecordid><originalsourceid>FETCH-LOGICAL-c288t-e187c1cafbd26ae257eae2e476a999764e3b7c10bdbb597d5117ce4aa6f7aeb43</originalsourceid><addsrcrecordid>eNpd0D1PwzAQBmALgUQpDPyDiAUxBO5ix3ZGaCkgVQKJMluOc6Gu0qTYDR__nqAiBpa7Gx69Or2MnSJcInJ1BRoU1xz5HhshFHmqUMh9NgI93EIDHrKjGFcAKATmI4bPmyUF72yTTCn61zYm794mN6HrPygkM_9JVfLU-XabLJbUBVofs4PaNpFOfveYvcxuF5P7dP549zC5nqcu03qbEmrl0Nm6rDJpKcsVDZOEkrYoCiUF8XIAUFZlmReqyhGVI2GtrJWlUvAxO9_lbkL31lPcmrWPjprGttT10RSAKkPJYZBn_-Sq60M7PGe0BpBaaD2gix1yoYsxUG02wa9t-DII5qc681cd_wbqA178</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>880068488</pqid></control><display><type>article</type><title>Spherical Designs via Brouwer Fixed Point Theorem</title><source>LOCUS - SIAM's Online Journal Archive</source><creator>Bondarenko, Andriy V ; Viazovska, Maryna S</creator><creatorcontrib>Bondarenko, Andriy V ; Viazovska, Maryna S</creatorcontrib><description>For each ... the authors prove the existence of a spherical t-design on Sd consisting of N points, where c^sub d^ is a constant depending only on d. (ProQuest: ... denotes formulae/symbols omitted.)</description><identifier>ISSN: 0895-4801</identifier><identifier>EISSN: 1095-7146</identifier><identifier>DOI: 10.1137/080738313</identifier><language>eng</language><publisher>Philadelphia: Society for Industrial and Applied Mathematics</publisher><subject>Fixed points (mathematics) ; Mathematical analysis ; Spheres ; Studies ; Symbols ; Theorems</subject><ispartof>SIAM journal on discrete mathematics, 2010-01, Vol.24 (1), p.207-217</ispartof><rights>Copyright Society for Industrial and Applied Mathematics 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c288t-e187c1cafbd26ae257eae2e476a999764e3b7c10bdbb597d5117ce4aa6f7aeb43</citedby><cites>FETCH-LOGICAL-c288t-e187c1cafbd26ae257eae2e476a999764e3b7c10bdbb597d5117ce4aa6f7aeb43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,3172,27901,27902</link.rule.ids></links><search><creatorcontrib>Bondarenko, Andriy V</creatorcontrib><creatorcontrib>Viazovska, Maryna S</creatorcontrib><title>Spherical Designs via Brouwer Fixed Point Theorem</title><title>SIAM journal on discrete mathematics</title><description>For each ... the authors prove the existence of a spherical t-design on Sd consisting of N points, where c^sub d^ is a constant depending only on d. (ProQuest: ... denotes formulae/symbols omitted.)</description><subject>Fixed points (mathematics)</subject><subject>Mathematical analysis</subject><subject>Spheres</subject><subject>Studies</subject><subject>Symbols</subject><subject>Theorems</subject><issn>0895-4801</issn><issn>1095-7146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNpd0D1PwzAQBmALgUQpDPyDiAUxBO5ix3ZGaCkgVQKJMluOc6Gu0qTYDR__nqAiBpa7Gx69Or2MnSJcInJ1BRoU1xz5HhshFHmqUMh9NgI93EIDHrKjGFcAKATmI4bPmyUF72yTTCn61zYm794mN6HrPygkM_9JVfLU-XabLJbUBVofs4PaNpFOfveYvcxuF5P7dP549zC5nqcu03qbEmrl0Nm6rDJpKcsVDZOEkrYoCiUF8XIAUFZlmReqyhGVI2GtrJWlUvAxO9_lbkL31lPcmrWPjprGttT10RSAKkPJYZBn_-Sq60M7PGe0BpBaaD2gix1yoYsxUG02wa9t-DII5qc681cd_wbqA178</recordid><startdate>20100101</startdate><enddate>20100101</enddate><creator>Bondarenko, Andriy V</creator><creator>Viazovska, Maryna S</creator><general>Society for Industrial and Applied Mathematics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7WY</scope><scope>7WZ</scope><scope>7X2</scope><scope>7XB</scope><scope>87Z</scope><scope>88A</scope><scope>88F</scope><scope>88I</scope><scope>88K</scope><scope>8AL</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KB.</scope><scope>L.-</scope><scope>L6V</scope><scope>LK8</scope><scope>M0C</scope><scope>M0K</scope><scope>M0N</scope><scope>M1Q</scope><scope>M2O</scope><scope>M2P</scope><scope>M2T</scope><scope>M7P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PDBOC</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20100101</creationdate><title>Spherical Designs via Brouwer Fixed Point Theorem</title><author>Bondarenko, Andriy V ; Viazovska, Maryna S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-e187c1cafbd26ae257eae2e476a999764e3b7c10bdbb597d5117ce4aa6f7aeb43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Fixed points (mathematics)</topic><topic>Mathematical analysis</topic><topic>Spheres</topic><topic>Studies</topic><topic>Symbols</topic><topic>Theorems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bondarenko, Andriy V</creatorcontrib><creatorcontrib>Viazovska, Maryna S</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>Agricultural Science Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Military Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Telecommunications (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>Agricultural &amp; Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Materials Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>ABI/INFORM Global</collection><collection>Agricultural Science Database</collection><collection>Computing Database</collection><collection>Military Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Telecommunications Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>SIAM journal on discrete mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bondarenko, Andriy V</au><au>Viazovska, Maryna S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spherical Designs via Brouwer Fixed Point Theorem</atitle><jtitle>SIAM journal on discrete mathematics</jtitle><date>2010-01-01</date><risdate>2010</risdate><volume>24</volume><issue>1</issue><spage>207</spage><epage>217</epage><pages>207-217</pages><issn>0895-4801</issn><eissn>1095-7146</eissn><abstract>For each ... the authors prove the existence of a spherical t-design on Sd consisting of N points, where c^sub d^ is a constant depending only on d. (ProQuest: ... denotes formulae/symbols omitted.)</abstract><cop>Philadelphia</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/080738313</doi><tpages>11</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0895-4801
ispartof SIAM journal on discrete mathematics, 2010-01, Vol.24 (1), p.207-217
issn 0895-4801
1095-7146
language eng
recordid cdi_proquest_miscellaneous_901721630
source LOCUS - SIAM's Online Journal Archive
subjects Fixed points (mathematics)
Mathematical analysis
Spheres
Studies
Symbols
Theorems
title Spherical Designs via Brouwer Fixed Point Theorem
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T16%3A46%3A36IST&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=Spherical%20Designs%20via%20Brouwer%20Fixed%20Point%20Theorem&rft.jtitle=SIAM%20journal%20on%20discrete%20mathematics&rft.au=Bondarenko,%20Andriy%20V&rft.date=2010-01-01&rft.volume=24&rft.issue=1&rft.spage=207&rft.epage=217&rft.pages=207-217&rft.issn=0895-4801&rft.eissn=1095-7146&rft_id=info:doi/10.1137/080738313&rft_dat=%3Cproquest_cross%3E901721630%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=880068488&rft_id=info:pmid/&rfr_iscdi=true