The Schwarz problem for infinite sets of intervals

We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.

Saved in:
Bibliographic Details
Published in:Russian mathematics 2016-02, Vol.60 (2), p.7-13
Main Authors: Vafina, L. I., Salekhova, I. G.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 13
container_issue 2
container_start_page 7
container_title Russian mathematics
container_volume 60
creator Vafina, L. I.
Salekhova, I. G.
description We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.
doi_str_mv 10.3103/S1066369X1602002X
format article
fullrecord <record><control><sourceid>crossref_sprin</sourceid><recordid>TN_cdi_crossref_primary_10_3103_S1066369X1602002X</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_3103_S1066369X1602002X</sourcerecordid><originalsourceid>FETCH-LOGICAL-c240t-57ba9e8a2acc15d575ba6c9432c958b32bc55d24eddbc0a0cfbf14a5292d38843</originalsourceid><addsrcrecordid>eNp9j8tKA0EQRRtRMEY_wF3_wGh19SPTSwm-IOAiEWY39NNMSGZC96jo19sh7gRXt6hbp7iXkGsGN5wBv10yUIor3TAFCIDNCZkwzUVVM2hOy1zs6uCfk4ucNwBSoVATgqt1oEu3_jTpm-7TYLdhR-OQaNfHru_GQHMYMx1iWYwhfZhtviRnsUi4-tUpeX24X82fqsXL4_P8blE5FDBWcmaNDrVB4xyTXs6kNcppwdFpWVuO1knpUQTvrQMDLtrIhJGo0fO6FnxK2PGvS0POKcR2n7qdSV8tg_ZQuv1TujB4ZHK57d9CajfDe-pLzH-gHzWmWdc</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The Schwarz problem for infinite sets of intervals</title><source>Springer Nature</source><creator>Vafina, L. I. ; Salekhova, I. G.</creator><creatorcontrib>Vafina, L. I. ; Salekhova, I. G.</creatorcontrib><description>We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.</description><identifier>ISSN: 1066-369X</identifier><identifier>EISSN: 1934-810X</identifier><identifier>DOI: 10.3103/S1066369X1602002X</identifier><language>eng</language><publisher>New York: Allerton Press</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Russian mathematics, 2016-02, Vol.60 (2), p.7-13</ispartof><rights>Allerton Press, Inc. 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Vafina, L. I.</creatorcontrib><creatorcontrib>Salekhova, I. G.</creatorcontrib><title>The Schwarz problem for infinite sets of intervals</title><title>Russian mathematics</title><addtitle>Russ Math</addtitle><description>We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1066-369X</issn><issn>1934-810X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9j8tKA0EQRRtRMEY_wF3_wGh19SPTSwm-IOAiEWY39NNMSGZC96jo19sh7gRXt6hbp7iXkGsGN5wBv10yUIor3TAFCIDNCZkwzUVVM2hOy1zs6uCfk4ucNwBSoVATgqt1oEu3_jTpm-7TYLdhR-OQaNfHru_GQHMYMx1iWYwhfZhtviRnsUi4-tUpeX24X82fqsXL4_P8blE5FDBWcmaNDrVB4xyTXs6kNcppwdFpWVuO1knpUQTvrQMDLtrIhJGo0fO6FnxK2PGvS0POKcR2n7qdSV8tg_ZQuv1TujB4ZHK57d9CajfDe-pLzH-gHzWmWdc</recordid><startdate>20160201</startdate><enddate>20160201</enddate><creator>Vafina, L. I.</creator><creator>Salekhova, I. G.</creator><general>Allerton Press</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20160201</creationdate><title>The Schwarz problem for infinite sets of intervals</title><author>Vafina, L. I. ; Salekhova, I. G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c240t-57ba9e8a2acc15d575ba6c9432c958b32bc55d24eddbc0a0cfbf14a5292d38843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vafina, L. I.</creatorcontrib><creatorcontrib>Salekhova, I. G.</creatorcontrib><collection>CrossRef</collection><jtitle>Russian mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vafina, L. I.</au><au>Salekhova, I. G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Schwarz problem for infinite sets of intervals</atitle><jtitle>Russian mathematics</jtitle><stitle>Russ Math</stitle><date>2016-02-01</date><risdate>2016</risdate><volume>60</volume><issue>2</issue><spage>7</spage><epage>13</epage><pages>7-13</pages><issn>1066-369X</issn><eissn>1934-810X</eissn><abstract>We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.</abstract><cop>New York</cop><pub>Allerton Press</pub><doi>10.3103/S1066369X1602002X</doi><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1066-369X
ispartof Russian mathematics, 2016-02, Vol.60 (2), p.7-13
issn 1066-369X
1934-810X
language eng
recordid cdi_crossref_primary_10_3103_S1066369X1602002X
source Springer Nature
subjects Mathematics
Mathematics and Statistics
title The Schwarz problem for infinite sets of intervals
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T13%3A58%3A04IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20Schwarz%20problem%20for%20infinite%20sets%20of%20intervals&rft.jtitle=Russian%20mathematics&rft.au=Vafina,%20L.%20I.&rft.date=2016-02-01&rft.volume=60&rft.issue=2&rft.spage=7&rft.epage=13&rft.pages=7-13&rft.issn=1066-369X&rft.eissn=1934-810X&rft_id=info:doi/10.3103/S1066369X1602002X&rft_dat=%3Ccrossref_sprin%3E10_3103_S1066369X1602002X%3C/crossref_sprin%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c240t-57ba9e8a2acc15d575ba6c9432c958b32bc55d24eddbc0a0cfbf14a5292d38843%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true