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1\u003cp the Feje r means _ n f converge to f almost everywhere with respect to the character system of any (bounded or not) Vilenkin group G m .","publication_date":"1999,,","grobid_abstract_attachment_id":"79223031"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [32476274]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div 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ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/79990907/Journal_of_Inequalities_in_Pure_and_Applied_Mathematics_MAXIMAL_OPERATORS_OF_FEJ%C3%89R_MEANS_OF_VILENKIN_FOURIER_SERIES">Journal of Inequalities in Pure and Applied Mathematics MAXIMAL OPERATORS OF FEJÉR MEANS OF VILENKIN-FOURIER SERIES</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="142093004" href="https://independent.academia.edu/Istv%C3%A1nBlahota">István Blahota</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2013</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Journal of Inequalities in Pure and Applied Mathematics MAXIMAL OPERATORS OF FEJÉR MEANS OF VILENKIN-FOURIER 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class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/68924004/On_almost_even_arithmetical_functions_via_orthonormal_systems_on_Vilenkin_groups">On almost even arithmetical functions via orthonormal systems on Vilenkin groups</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="32476274" href="https://unideb.academia.edu/GyorgyGat">Gyorgy Gat</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1991</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On almost even arithmetical functions via orthonormal systems on Vilenkin 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ds2-5-body-link" href="https://www.academia.edu/85415280/Summability_and_integrability_of_Vilenkin_series">Summability and integrability of Vilenkin series</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43632767" href="https://unsa-ba.academia.edu/Avdispahic">Muharem Avdispahić</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Collectanea Mathematica, 2000</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Summability and integrability of Vilenkin series","attachmentId":90120330,"attachmentType":"pdf","work_url":"https://www.academia.edu/85415280/Summability_and_integrability_of_Vilenkin_series","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span 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ds2-5-body-link" data-author-id="32476274" href="https://unideb.academia.edu/GyorgyGat">Gyorgy Gat</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Filomat, 2018</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Subsequences of triangular partial sums of double fourier series on unbounded Vilenkin groups","attachmentId":108260146,"attachmentType":"pdf","work_url":"https://www.academia.edu/110444349/Subsequences_of_triangular_partial_sums_of_double_fourier_series_on_unbounded_Vilenkin_groups","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/110444349/Subsequences_of_triangular_partial_sums_of_double_fourier_series_on_unbounded_Vilenkin_groups"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="14" data-entity-id="103541545" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/103541545/Smoothness_conditions_and_integrability_theorems_on_bounded_Vilenkin_groups">Smoothness conditions and integrability theorems on bounded Vilenkin groups</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="40193071" href="https://murdoch.academia.edu/WalterBloom">Walter R Bloom</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of the Australian Mathematical Society, 1988</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Smoothness conditions and integrability theorems on bounded Vilenkin groups","attachmentId":103521505,"attachmentType":"pdf","work_url":"https://www.academia.edu/103541545/Smoothness_conditions_and_integrability_theorems_on_bounded_Vilenkin_groups","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/103541545/Smoothness_conditions_and_integrability_theorems_on_bounded_Vilenkin_groups"><span class="ds2-5-text-link__content">View PDF</span><span 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translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="16" data-entity-id="68924062" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/68924062/On_the_Fej%C3%A9r_kernel_functions_with_respect_to_the_character_system_of_the_group_of_2_adic_integers">On the Fejér kernel functions with respect to the character system of the group of 2-adic integers</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="32476274" href="https://unideb.academia.edu/GyorgyGat">Gyorgy Gat</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On the Fejér kernel functions with respect to the 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class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/68924009/On_the_pointwise_convergence_of_Cesaro_means_of_two_variable_functions_with_respect_to_unbounded_Vilenkin_systems">On the pointwise convergence of Cesaro means of two-variable functions with respect to unbounded Vilenkin systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="32476274" href="https://unideb.academia.edu/GyorgyGat">Gyorgy Gat</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On the pointwise convergence of Cesaro means of two-variable functions with respect to unbounded Vilenkin systems","attachmentId":79223026,"attachmentType":"pdf","work_url":"https://www.academia.edu/68924009/On_the_pointwise_convergence_of_Cesaro_means_of_two_variable_functions_with_respect_to_unbounded_Vilenkin_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/68924009/On_the_pointwise_convergence_of_Cesaro_means_of_two_variable_functions_with_respect_to_unbounded_Vilenkin_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="18" data-entity-id="68923999" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/68923999/On_C_1_summability_for_Vilenkin_like_systems">On (C, 1) summability for Vilenkin-like systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="32476274" href="https://unideb.academia.edu/GyorgyGat">Gyorgy Gat</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2001</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On (C, 1) summability for Vilenkin-like systems","attachmentId":79223373,"attachmentType":"pdf","work_url":"https://www.academia.edu/68923999/On_C_1_summability_for_Vilenkin_like_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/68923999/On_C_1_summability_for_Vilenkin_like_systems"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="19" data-entity-id="108147261" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/108147261/Absolute_convergence_of_Fourier_series_on_totally_disconnected_groups">Absolute convergence of Fourier series on totally disconnected groups</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="40193071" href="https://murdoch.academia.edu/WalterBloom">Walter R Bloom</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Arkiv för matematik, 1982</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Absolute convergence of Fourier series on totally disconnected groups","attachmentId":106608310,"attachmentType":"pdf","work_url":"https://www.academia.edu/108147261/Absolute_convergence_of_Fourier_series_on_totally_disconnected_groups","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/108147261/Absolute_convergence_of_Fourier_series_on_totally_disconnected_groups"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="20" data-entity-id="110444357" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/110444357/Almost_everywhere_convergence_of_a_subsequence_of_the_logarithmic_means_of_Vilenkin_Fourier_series">Almost everywhere convergence of a subsequence of the logarithmic means of Vilenkin-Fourier series</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="32476274" href="https://unideb.academia.edu/GyorgyGat">Gyorgy Gat</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Facta universitatis. 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