Representing Exponential Systems in Spaces of Analytic Functions

This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-08, Vol.257 (2), p.143-205
Main Author: Isaev, K. P.
Format: Article
Language:English
Subjects:
Analytic functions
Mathematics
Mathematics and Statistics
Subspaces
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883
cites cdi_FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883
container_end_page 205
container_issue 2
container_start_page 143
container_title Journal of mathematical sciences (New York, N.Y.)
container_volume 257
creator Isaev, K. P.
description This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).
doi_str_mv 10.1007/s10958-021-05478-0
format article
fullrecord <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2559685981</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A728197978</galeid><sourcerecordid>A728197978</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883</originalsourceid><addsrcrecordid>eNp9kU1LAzEQhhdRUKt_wNOCJw-r-dg0yc1SrBYKgtVzSNPZJbLNrpkt2H9vaoVSKBJChvA8wzBvlt1Qck8JkQ9IiRaqIIwWRJQyVSfZBRWSF0pqcZpqIlnBuSzPs0vET5KkoeIX2eMbdBEQQu9DnT99d23Y1rbJ5xvsYYW5D_m8sw4wb6t8FGyz6b3LJ-vget8GvMrOKtsgXP-9g-xj8vQ-filmr8_T8WhWuJJKUiwsk0rLRUVhyfiyTJdRW8ohEKXBUVhozklZVVosHdW6FG7BSsUpZ9Zypfggu9317WL7tQbszWe7jmkcNEwIPVRCK7qnatuA8aFq-2jdyqMzI8kU1VLLba_iCFVDgGibtIDKp-8D_v4In84SVt4dFe4OhMT08N3Xdo1opvO3Q5btWBdbxAiV6aJf2bgxlJhtuGYXrknhmt9wDUkS30mY4FBD3G_jH-sHFdWjfg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2559685981</pqid></control><display><type>article</type><title>Representing Exponential Systems in Spaces of Analytic Functions</title><source>Springer Link</source><creator>Isaev, K. P.</creator><creatorcontrib>Isaev, K. P.</creatorcontrib><description>This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).</description><identifier>ISSN: 1072-3374</identifier><identifier>EISSN: 1573-8795</identifier><identifier>DOI: 10.1007/s10958-021-05478-0</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Analytic functions ; Mathematics ; Mathematics and Statistics ; Subspaces</subject><ispartof>Journal of mathematical sciences (New York, N.Y.), 2021-08, Vol.257 (2), p.143-205</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021</rights><rights>COPYRIGHT 2021 Springer</rights><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883</citedby><cites>FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27922,27923</link.rule.ids></links><search><creatorcontrib>Isaev, K. P.</creatorcontrib><title>Representing Exponential Systems in Spaces of Analytic Functions</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).</description><subject>Analytic functions</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Subspaces</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kU1LAzEQhhdRUKt_wNOCJw-r-dg0yc1SrBYKgtVzSNPZJbLNrpkt2H9vaoVSKBJChvA8wzBvlt1Qck8JkQ9IiRaqIIwWRJQyVSfZBRWSF0pqcZpqIlnBuSzPs0vET5KkoeIX2eMbdBEQQu9DnT99d23Y1rbJ5xvsYYW5D_m8sw4wb6t8FGyz6b3LJ-vget8GvMrOKtsgXP-9g-xj8vQ-filmr8_T8WhWuJJKUiwsk0rLRUVhyfiyTJdRW8ohEKXBUVhozklZVVosHdW6FG7BSsUpZ9Zypfggu9317WL7tQbszWe7jmkcNEwIPVRCK7qnatuA8aFq-2jdyqMzI8kU1VLLba_iCFVDgGibtIDKp-8D_v4In84SVt4dFe4OhMT08N3Xdo1opvO3Q5btWBdbxAiV6aJf2bgxlJhtuGYXrknhmt9wDUkS30mY4FBD3G_jH-sHFdWjfg</recordid><startdate>20210809</startdate><enddate>20210809</enddate><creator>Isaev, K. P.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20210809</creationdate><title>Representing Exponential Systems in Spaces of Analytic Functions</title><author>Isaev, K. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Analytic functions</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Subspaces</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Isaev, K. P.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Isaev, K. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Representing Exponential Systems in Spaces of Analytic Functions</atitle><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle><stitle>J Math Sci</stitle><date>2021-08-09</date><risdate>2021</risdate><volume>257</volume><issue>2</issue><spage>143</spage><epage>205</epage><pages>143-205</pages><issn>1072-3374</issn><eissn>1573-8795</eissn><abstract>This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10958-021-05478-0</doi><tpages>63</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1072-3374
ispartof Journal of mathematical sciences (New York, N.Y.), 2021-08, Vol.257 (2), p.143-205
issn 1072-3374
1573-8795
language eng
recordid cdi_proquest_journals_2559685981
source Springer Link
subjects Analytic functions
Mathematics
Mathematics and Statistics
Subspaces
title Representing Exponential Systems in Spaces of Analytic Functions
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-14T13%3A36%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Representing%20Exponential%20Systems%20in%20Spaces%20of%20Analytic%20Functions&rft.jtitle=Journal%20of%20mathematical%20sciences%20(New%20York,%20N.Y.)&rft.au=Isaev,%20K.%20P.&rft.date=2021-08-09&rft.volume=257&rft.issue=2&rft.spage=143&rft.epage=205&rft.pages=143-205&rft.issn=1072-3374&rft.eissn=1573-8795&rft_id=info:doi/10.1007/s10958-021-05478-0&rft_dat=%3Cgale_proqu%3EA728197978%3C/gale_proqu%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c4170-ba27897bf1ed23d423d21a476e089ec1eb93304ff95dc19945cb2483132aa3883%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2559685981&rft_id=info:pmid/&rft_galeid=A728197978&rfr_iscdi=true