Almost everywhere convergence of the spherical partial Fourier integrals for radial functions
We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 44B20, 42EB10. Key words and phrases. Fourier integrals, extrapolation theory, almost everyw...
Saved in:
| Published in | Banach journal of mathematical analysis Vol. 4; no. 1; pp. 92 - 99 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Durham
Springer
2010
Nature Publishing Group |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1735-8787 2662-2033 1735-8787 |
| DOI | 10.15352/bjma/1272374673 |
Cover
| Abstract | We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 44B20, 42EB10. Key words and phrases. Fourier integrals, extrapolation theory, almost everywhere convergence, radial functions, Muckenhoupt weights. |
|---|---|
| AbstractList | We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 44B20, 42EB10. Key words and phrases. Fourier integrals, extrapolation theory, almost everywhere convergence, radial functions, Muckenhoupt weights. We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. |
| Audience | Academic |
| Author | Carro, Maria J. |
| Author_xml | – sequence: 1 givenname: Maria J. surname: Carro fullname: Carro, Maria J. |
| BookMark | eNqFUE1P2zAYtiaQBoX7jhYcdmrrjyR2jlW1AhLSLuOILMd5XVwldrCTof57XIrEhiZNPrx-_XzIz3OOTnzwgNA3Sha05CVbNrteLykTjIuiEvwLOqOCl3MppDj54_4Vnae0I6RiRLIz9Ljq-pBGDL8h7l-eIAI2wedlC94ADhaPT4DTkBFndIcHHUeX5yZM0UHEzo-wjbpL2IaIo24PoJ28GV3w6QKd2ozB5fucoYfNj1_r2_n9z5u79ep-bgrGxnmlDaXA6wJsy4ua1KUEqRvOWCNb07bQsKIlshSWgBYSrDTEkqopK25kZWo-Q_ToO_lB719016khul7HvaJEvfWjDv2oj36y5vtRM8TwPEEaVe-Sga7THsKUlOSUVgUnIjOvPjF3Ob3PgZQoi7rKbjSTro-kre5AOW_DGLU5WKoVyy65f3746OIfrHxa6F0uHqzL738JyFFgYkgpgv1_sFdGMqGa |
| ContentType | Journal Article |
| Copyright | COPYRIGHT 2010 Springer Copyright Tusi Mathematical Research Group (TMRG) 2010 |
| Copyright_xml | – notice: COPYRIGHT 2010 Springer – notice: Copyright Tusi Mathematical Research Group (TMRG) 2010 |
| DBID | AAYXX CITATION 7TB 7XB 8FD 8FE 8FG ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU CWDGH DWQXO FR3 GNUQQ HCIFZ KR7 L6V M2P M7S P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U ADTOC UNPAY |
| DOI | 10.15352/bjma/1272374673 |
| DatabaseName | CrossRef Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology collection ProQuest One Community College Middle East & Africa Database ProQuest Central Korea Engineering Research Database ProQuest Central Student SciTech Premium Collection Civil Engineering Abstracts ProQuest Engineering Collection Science Database (ProQuest) Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic Unpaywall for CDI: Periodical Content Unpaywall |
| DatabaseTitle | CrossRef ProQuest Central Student Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection Middle East & Africa Database ProQuest Central Korea ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts Engineering Database ProQuest Central Basic ProQuest Science Journals ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences |
| EISSN | 1735-8787 |
| EndPage | 99 |
| ExternalDocumentID | 10.15352/bjma/1272374673 2147082311 A230773539 10_15352_bjma_1272374673 |
| Genre | General Information |
| GeographicLocations | Spain |
| GeographicLocations_xml | – name: Spain |
| GroupedDBID | -~9 0R~ 23N 2WC 406 5GY 6J9 70C 8FE 8FG 8R4 8R5 8UJ 8VB AACDK AAHNG AAJBT AAOJF AASML AATNV AAUYE AAYXX ABAKF ABBRH ABDBE ABECU ABFSG ABJCF ABJNI ABMQK ABRTQ ABTEG ABTKH ABUWG ACAOD ACDTI ACHSB ACIPV ACIWK ACOKC ACPIV ACSTC ACZOJ ADKNI ADYFF AEEGL AEFQL AEGXH AEMSY AENEX AESKC AEZWR AFBBN AFDZB AFFOW AFHIU AFKRA AFOHR AFQWF AGMZJ AGQEE AHIZY AHPBZ AHWEU AIGIU AILAN AIXLP AJZVZ ALMA_UNASSIGNED_HOLDINGS AMXSW AMYLF ARAPS ATHPR AYFIA BENPR BGLVJ BPHCQ C1A CCPQU CITATION CWDGH DPUIP E3Z EBLON EBS EJD FIGPU FNLPD HCIFZ IAO IEA IKXTQ ITC IWAJR J9A JZLTJ K1G KOV L6V LLZTM LO0 M2P M7S NPVJJ NQJWS OK1 OVT P2P P62 PHGZM PHGZT PQGLB PQQKQ PROAC PT4 PTHSS PUASD PUEGO Q2X QWB RBF RBV RNS ROL RPE RSV SJYHP SNE SNPRN SOHCF SOJ SRMVM SSLCW TR2 UOJIU UTJUX WS9 ZL0 ZMTXR 7TB 7XB 8FD AZQEC DWQXO FR3 GNUQQ KR7 PKEHL PQEST PQUKI PRINS Q9U ADTOC UNPAY |
| ID | FETCH-LOGICAL-c422t-6ac11e394efd3490958e8ab322b8dcddeb24d0857f0ea78ef8c0f06b563c86c93 |
| IEDL.DBID | UNPAY |
| ISSN | 1735-8787 2662-2033 |
| IngestDate | Wed Oct 01 15:20:44 EDT 2025 Wed Oct 01 15:03:23 EDT 2025 Sat Sep 13 14:31:35 EDT 2025 Mon Oct 20 22:00:39 EDT 2025 Mon Oct 20 16:27:25 EDT 2025 Wed Oct 01 03:19:01 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c422t-6ac11e394efd3490958e8ab322b8dcddeb24d0857f0ea78ef8c0f06b563c86c93 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-General Information-1 content type line 14 ObjectType-Article-2 ObjectType-Feature-1 content type line 23 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=https://projecteuclid.org/journals/banach-journal-of-mathematical-analysis/volume-4/issue-1/Almost-everywhere-convergence-of-the-spherical-partial-Fourier-integrals-for/10.15352/bjma/1272374673.pdf |
| PQID | 754966731 |
| PQPubID | 237365 |
| PageCount | 8 |
| ParticipantIDs | unpaywall_primary_10_15352_bjma_1272374673 proquest_miscellaneous_831164307 proquest_journals_754966731 gale_infotracmisc_A230773539 gale_infotracacademiconefile_A230773539 crossref_primary_10_15352_bjma_1272374673 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2010-00-00 20100101 |
| PublicationDateYYYYMMDD | 2010-01-01 |
| PublicationDate_xml | – year: 2010 text: 2010-00-00 |
| PublicationDecade | 2010 |
| PublicationPlace | Durham |
| PublicationPlace_xml | – name: Durham |
| PublicationTitle | Banach journal of mathematical analysis |
| PublicationYear | 2010 |
| Publisher | Springer Nature Publishing Group |
| Publisher_xml | – name: Springer – name: Nature Publishing Group |
| SSID | ssj0062082 |
| Score | 1.7464709 |
| Snippet | We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. 2000 Mathematics... We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. |
| SourceID | unpaywall proquest gale crossref |
| SourceType | Open Access Repository Aggregation Database Index Database |
| StartPage | 92 |
| SubjectTerms | Convergence Convergence (Mathematics) Fourier analysis Functional equations Functions Integrals Mathematical analysis |
| SummonAdditionalLinks | – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV1Lj9MwEB4t3QNw4L3asLvIByQEUtQmzvOAUHZJN4v6UtrCckCR7TgHtKRl2wrx75lJnUI5wClKnNjR2DOescffB_DSR_1XvnTsULux7fmisgVXwq4weFaBcIRuEPiGoyCbex-u_esDGLZnYSitsrWJjaEuF4rWyLshBjJEUem8W363iTSKNldbBg1hmBXKtw3C2B04dAkYqwOH5-lokremOXBxwjN7lQRr0pVfv4mu44YuJ9YNvjc3_W2h78PdTb0UP3-Im5s_pqD-I3hgfEeWbDv7MRzo-gk8NH4kM1q6egpfksFwPJ2x9GOaf_6UpXnKLsYjvLmk9SQ27rNZlrLpJGsIHwdsgk7tFV7743l-leaMYHIv82QwxSc5y5P3TeF81OSbTJ_BvJ_OLjLb0CjYynPdtR0I5Tiax56uSu7F6FNFOhISNVlGpULzJl2vJKD7qqdFGOkqUr2qF0g_4CoKVMyPoFMvan0MzFE8qELuigjVWPEQI2usPZZUmydlacHrVoDFcouWUVCUQcIuSNjFb2Fb8IokXJAirW-FEuY8ALZEkFRFQinqIfd5bMHp3puoAGqv-KTto8Io4KrYDRcL2K6UPqScslovNqsi4g7GiliLBW92Pfvf337-z9ZO4N42vYDWaE6hs77d6DP0WtbyhRmLvwAwkOQz priority: 102 providerName: ProQuest |
| Title | Almost everywhere convergence of the spherical partial Fourier integrals for radial functions |
| URI | https://www.proquest.com/docview/754966731 https://www.proquest.com/docview/831164307 https://projecteuclid.org/journals/banach-journal-of-mathematical-analysis/volume-4/issue-1/Almost-everywhere-convergence-of-the-spherical-partial-Fourier-integrals-for/10.15352/bjma/1272374673.pdf |
| UnpaywallVersion | publishedVersion |
| Volume | 4 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIHZ databaseName: EuDML: The European Digital Mathematics Library customDbUrl: eissn: 1735-8787 dateEnd: 20111231 omitProxy: true ssIdentifier: ssj0062082 issn: 2662-2033 databaseCode: LO0 dateStart: 20070101 isFulltext: true titleUrlDefault: https://eudml.org/journals providerName: EuDML: The European Digital Mathematics Library – providerCode: PRVEGU databaseName: Project Euclid Open Access Journals customDbUrl: eissn: 1735-8787 dateEnd: 20191031 omitProxy: true ssIdentifier: ssj0062082 issn: 2662-2033 databaseCode: RBV dateStart: 20070101 isFulltext: true titleUrlDefault: https://projecteuclid.org/Search providerName: Project Euclid – providerCode: PRVPQU databaseName: Middle East & Africa Database customDbUrl: eissn: 1735-8787 dateEnd: 20140731 omitProxy: false ssIdentifier: ssj0062082 issn: 2662-2033 databaseCode: CWDGH dateStart: 20100101 isFulltext: true titleUrlDefault: https://search.proquest.com/middleeastafrica providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central (New) (NC LIVE) customDbUrl: http://www.proquest.com/pqcentral?accountid=15518 eissn: 1735-8787 dateEnd: 20140731 omitProxy: true ssIdentifier: ssj0062082 issn: 2662-2033 databaseCode: BENPR dateStart: 20100101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Technology Collection customDbUrl: eissn: 1735-8787 dateEnd: 20140731 omitProxy: true ssIdentifier: ssj0062082 issn: 2662-2033 databaseCode: 8FG dateStart: 20100101 isFulltext: true titleUrlDefault: https://search.proquest.com/technologycollection1 providerName: ProQuest |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3di9NAEB_u2gfxwfMTo2fZB0EUtmmy-Xys5_WKYDnE4vkgYXez4dQ0LU3CWf8__xX_DmeTba49BPHRpxCymfyYzGc2MwPw3Ef9l75waKjcmHo-zyhnktMMk2cZcIerpgPfu1kwnXtvL_yLA_i5rYUx3x9ULfMvabOTb3ha2oIXXF5Sc06XGV10nU3xnJsmHnar1tSzG-TUscf5YllWVKFsbK6QE4o2f3Q3xY1K00EqtNRV_A2hlX5neJy0Q-Oo6duQlxTDyHZkEEYttvi64Lbjhi7TEzswI02zQ-gHPqYEPejPZ-fjT00xJvPR4jSD-tAXuiiVjJnt0j-R2XOPN53EbbhVFyu-ueJ5vuMFJ0fwa4d_3zfDb8O6EkP540Zryf-ewXfhjonTybhVrHtwoIr7cGRidmIsYvkAPreoyDUqsoOKLDOCqEiHihhUxKAiHSqCqMhad4rIiQ42GnvwEOaT0w8nU2pGVlDpuW5FAy4dR7HYU1nKvBjj10hFXKDVFFEq0ZUI10v1UIFspHgYqSySo2wUCD9gMgpkzB5Br1gW6jEQR7IgC5nLIzSZkoXxKETqsdDUPCFSC15uJSVZtZ1JEp3Rad4lmnfJNe8seKFFKdFGq1pzyU3tBT5Jt_9KxrocACWVxRYc761EYyP3Lj_dCmOylZsk9L1YT491LCDdVX2j_n-vUMu6TCLmYF6OVCx41YnwX2E_-ZfFx9Cr1rV6hjFiJQZwGE3OBtB_fTo7f4_Hk49vzqYDo5e_AbPudxI |
| linkProvider | Unpaywall |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lc9MwEN4p6aFwoDyH0AI68BiYcRNLfh44ZBInDk2TjpPQcmCMpMgHKElokumU_8Rf4Texm9iB9ACnHjh5bNmSLX_6dlda7QI8d3H8a1fZlm94aDmuzCwptLQyNJ61J21plhH4jrpePHTenbqnW_Cj2AtDbpUFJy6JejTRNEde8dGQoRSVdu5AeWguL9A8m71tN_BfvuC8GQ3qsZVnELC0w_nc8qS2bSNCx2Qj4YSoTgQmkApBrIKRxpGtuDOiGO9Z1Ug_MFmgq1nVU64ndOBpCrTEX06_WZSkihZz84wdN2AbYW7zEmzXTxqtuKB-j6NAzddCKWxKRX3-Kis297mgrB5iQ_ZdlQC3YGcxnsrLC3l29oeIa-7Cz6JzVp4tXw4Wc3Wgv1-JG_nf9N4duJ0r26y2Gh13YcuM78FurniznNZm9-FjrXPU6w9Y9D5KPpzEURKxeq-LJy2agGO9JhvEEesfx8sMmR12jFZAG4_N3jBpRwmjuMKtpNbp45WEJbXGsnDYXTro9B_A8Fq--yGUxpOxeQTM1sLLfMFlgLynhR9Wfaw9VFSbo9SoDK8LRKTTVXiRlMwyQk9K6El_o6cMrwgyKTHP_FxqmW-gwJYohldaI59-X7giLMP-xp3IGHqjeK8ASZoz1ixdI6QMbF1KD5IT3thMFrM0EDYa11hLGd6sofrP137819aewU48OOqknXb3cA9urnwzaIJrH0rz84V5girfXD3NBxqDT9cN2F-bkmAx |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Li9RAEC7W2YN4cH1idJU-CKLQk-l0nsdBHBbBxYMD60FCd6cbH5lkmCSs4__zr_g7rE56sjOLIB49hSadykeluh7priqA5xGufxVJRhMdZDSMhKGCK0ENBs8qFkzovgLfu_P4bBm-vYgujuDnLhfG_X_QnSq_FP1OvuNp40tRCfWZujGtDV2NlU1xLFwRD39Y1jT0e-SU-fNyVTct1Sgb20vkhKb9ie4-uVFbOkiFNjaLvye0tt8Mr4uhaRx1dRvKhqIbObQMQq_Fl19XwmdBEnDbsQMj0sLcgOM4wpBgAsfL8_fzj30yJo9Q4_SN-tAWBiiVnLvt0j-ROTCP143ELbjZVWuxvRRluWcFFyfwa49_37fTb9OulVP141ppyf-ewXfgtvPTyXxYWHfhSFf34MT57MRpxOY-fBpQkStUZA8VqQ1BVGRERRwq4lCRERVBVGRjK0WUxDobvT54AMvFmw-vz6hrWUFVGAQtjYViTPMs1KbgYYb-a6pTIVFryrRQaEpkEBa2qYCZaZGk2qRqZmaxjGKu0lhl_CFMqrrSj4AwxWOT8ECkqDIVT7JZgtQzaamFUhYevNxJSr4eKpPkNqKzvMst7_Ir3nnwwopSbpVWuxFKuNwLfJMt_5XPbToASirPPDg9mInKRh3cfrITxnwnN3kShZntHss8IONd-6A9v1fpumvylDOMy5GKB69GEf4r7Mf_MvkUJu2m00_RR2zlM7cCfwOtvnMC |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Almost+everywhere+convergence+of+the+spherical+partial+Fourier+integrals+for+radial+functions&rft.jtitle=Banach+journal+of+mathematical+analysis&rft.au=Carro%2C+Maria+J.&rft.date=2010&rft.issn=1735-8787&rft.eissn=1735-8787&rft.volume=4&rft.issue=1&rft.spage=92&rft.epage=99&rft_id=info:doi/10.15352%2Fbjma%2F1272374673&rft.externalDBID=n%2Fa&rft.externalDocID=10_15352_bjma_1272374673 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1735-8787&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1735-8787&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1735-8787&client=summon |