On the phi and psi transforms of Frazier and Jawerth

On the phi and psi transforms of Frazier and Jawerth

In this article we study the phi and psi transforms of Frazier and Jawerth when either phi or psi is not band‐limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexican hat function is complete in Lebesgue and Hardy...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematische Nachrichten 2011-02, Vol.284 (2-3), p.186-198
Hauptverfasser: Bui, Huy-Qui, Paluszyński, Maciej
Format: Artikel
Sprache:eng
Schlagworte:
42C30
46E35
Besov space
Mexican hat function
MSC 42B25
MSC 42B25, 42C30, 46E35
Phi-transform
Triebel-Lizorkin space
weighted function space
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 198
container_issue 2-3
container_start_page 186
container_title Mathematische Nachrichten
container_volume 284
creator Bui, Huy-Qui
Paluszyński, Maciej
description In this article we study the phi and psi transforms of Frazier and Jawerth when either phi or psi is not band‐limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexican hat function is complete in Lebesgue and Hardy spaces. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
doi_str_mv 10.1002/mana.200810014
format Article
fullrecord <record><control><sourceid>istex_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1002_mana_200810014</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>ark_67375_WNG_XJGSV694_P</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3674-3bd4fd83fc973b55537c4fa6131b2f98ccc0680853cf82e4e2c6ea59d3c1ea53</originalsourceid><addsrcrecordid>eNqFj11LwzAYhYMoWKe3XucPtOa7yWUZbjrmJjh0dyFLE1bd2pIU5vz1dk6Gd14dDu95XngAuMUowwiRu62pTUYQkn3D7AwkmBOSEoHFOUj6AU-5ZMtLcBXjO0JIqVwkgM1r2K0dbNcVNHUJ21jBLpg6-iZsI2w8HAXzVbnwc52YnQvd-hpceLOJ7uY3B2Axul8MH9LpfPw4LKappSJnKV2VzJeSeqtyuuKc09wybwSmeEW8ktZaJCSSnFoviWOOWOEMVyW1uE86ANnxrQ1NjMF53YZqa8JeY6QPyvqgrE_KPaCOwK7auP0_a_1UzIq_bHpkq9i5zxNrwocWOc25fpuN9XIyfnkViuln-g0hcWlH</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the phi and psi transforms of Frazier and Jawerth</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>Bui, Huy-Qui ; Paluszyński, Maciej</creator><creatorcontrib>Bui, Huy-Qui ; Paluszyński, Maciej</creatorcontrib><description>In this article we study the phi and psi transforms of Frazier and Jawerth when either phi or psi is not band‐limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexican hat function is complete in Lebesgue and Hardy spaces. © 2011 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim</description><identifier>ISSN: 0025-584X</identifier><identifier>EISSN: 1522-2616</identifier><identifier>DOI: 10.1002/mana.200810014</identifier><language>eng</language><publisher>Germany: WILEY-VCH Verlag</publisher><subject>42C30 ; 46E35 ; Besov space ; Mexican hat function ; MSC 42B25 ; MSC 42B25, 42C30, 46E35 ; Phi-transform ; Triebel-Lizorkin space ; weighted function space</subject><ispartof>Mathematische Nachrichten, 2011-02, Vol.284 (2-3), p.186-198</ispartof><rights>Copyright © 2011 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3674-3bd4fd83fc973b55537c4fa6131b2f98ccc0680853cf82e4e2c6ea59d3c1ea53</citedby><cites>FETCH-LOGICAL-c3674-3bd4fd83fc973b55537c4fa6131b2f98ccc0680853cf82e4e2c6ea59d3c1ea53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fmana.200810014$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fmana.200810014$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Bui, Huy-Qui</creatorcontrib><creatorcontrib>Paluszyński, Maciej</creatorcontrib><title>On the phi and psi transforms of Frazier and Jawerth</title><title>Mathematische Nachrichten</title><addtitle>Math. Nachr</addtitle><description>In this article we study the phi and psi transforms of Frazier and Jawerth when either phi or psi is not band‐limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexican hat function is complete in Lebesgue and Hardy spaces. © 2011 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim</description><subject>42C30</subject><subject>46E35</subject><subject>Besov space</subject><subject>Mexican hat function</subject><subject>MSC 42B25</subject><subject>MSC 42B25, 42C30, 46E35</subject><subject>Phi-transform</subject><subject>Triebel-Lizorkin space</subject><subject>weighted function space</subject><issn>0025-584X</issn><issn>1522-2616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFj11LwzAYhYMoWKe3XucPtOa7yWUZbjrmJjh0dyFLE1bd2pIU5vz1dk6Gd14dDu95XngAuMUowwiRu62pTUYQkn3D7AwkmBOSEoHFOUj6AU-5ZMtLcBXjO0JIqVwkgM1r2K0dbNcVNHUJ21jBLpg6-iZsI2w8HAXzVbnwc52YnQvd-hpceLOJ7uY3B2Axul8MH9LpfPw4LKappSJnKV2VzJeSeqtyuuKc09wybwSmeEW8ktZaJCSSnFoviWOOWOEMVyW1uE86ANnxrQ1NjMF53YZqa8JeY6QPyvqgrE_KPaCOwK7auP0_a_1UzIq_bHpkq9i5zxNrwocWOc25fpuN9XIyfnkViuln-g0hcWlH</recordid><startdate>201102</startdate><enddate>201102</enddate><creator>Bui, Huy-Qui</creator><creator>Paluszyński, Maciej</creator><general>WILEY-VCH Verlag</general><general>WILEY‐VCH Verlag</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201102</creationdate><title>On the phi and psi transforms of Frazier and Jawerth</title><author>Bui, Huy-Qui ; Paluszyński, Maciej</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3674-3bd4fd83fc973b55537c4fa6131b2f98ccc0680853cf82e4e2c6ea59d3c1ea53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>42C30</topic><topic>46E35</topic><topic>Besov space</topic><topic>Mexican hat function</topic><topic>MSC 42B25</topic><topic>MSC 42B25, 42C30, 46E35</topic><topic>Phi-transform</topic><topic>Triebel-Lizorkin space</topic><topic>weighted function space</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bui, Huy-Qui</creatorcontrib><creatorcontrib>Paluszyński, Maciej</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Mathematische Nachrichten</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bui, Huy-Qui</au><au>Paluszyński, Maciej</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the phi and psi transforms of Frazier and Jawerth</atitle><jtitle>Mathematische Nachrichten</jtitle><addtitle>Math. Nachr</addtitle><date>2011-02</date><risdate>2011</risdate><volume>284</volume><issue>2-3</issue><spage>186</spage><epage>198</epage><pages>186-198</pages><issn>0025-584X</issn><eissn>1522-2616</eissn><abstract>In this article we study the phi and psi transforms of Frazier and Jawerth when either phi or psi is not band‐limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexican hat function is complete in Lebesgue and Hardy spaces. © 2011 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim</abstract><cop>Germany</cop><pub>WILEY-VCH Verlag</pub><doi>10.1002/mana.200810014</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0025-584X
ispartof Mathematische Nachrichten, 2011-02, Vol.284 (2-3), p.186-198
issn 0025-584X
1522-2616
language eng
recordid cdi_crossref_primary_10_1002_mana_200810014
source Wiley Online Library Journals Frontfile Complete
subjects 42C30
46E35
Besov space
Mexican hat function
MSC 42B25
MSC 42B25, 42C30, 46E35
Phi-transform
Triebel-Lizorkin space
weighted function space
title On the phi and psi transforms of Frazier and Jawerth
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-09T17%3A17%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-istex_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20phi%20and%20psi%20transforms%20of%20Frazier%20and%20Jawerth&rft.jtitle=Mathematische%20Nachrichten&rft.au=Bui,%20Huy-Qui&rft.date=2011-02&rft.volume=284&rft.issue=2-3&rft.spage=186&rft.epage=198&rft.pages=186-198&rft.issn=0025-584X&rft.eissn=1522-2616&rft_id=info:doi/10.1002/mana.200810014&rft_dat=%3Cistex_cross%3Eark_67375_WNG_XJGSV694_P%3C/istex_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true