In this thesis, we give the brief description of two most important tests of Fourier series namely Dini-Dirichel and Kolmogorov-Seliverstov-Plessner test. We develop further some results of L.V. Zhizhiashvili to obtain a multidimensional anisotropic version of the Kolmogorov-Seliverstov-Plessner test on convergence almost everywhere and negative C-summabilities of the Fourier series.
","abstract_html":"<p>In this thesis, we give the brief description of two most important tests of Fourier series namely Dini-Dirichel and Kolmogorov-Seliverstov-Plessner test. We develop further some results of L.V. Zhizhiashvili to obtain a multidimensional anisotropic version of the Kolmogorov-Seliverstov-Plessner test on convergence almost everywhere and negative C-summabilities of the Fourier series.</p>","abstract_has_math":false,"creators":["Malhi, Satbir"],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (restricted to Georgia Southern)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Goran Lesaja","Shijun Zheng"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-01-01T08:00:00Z","date_published":"2013-01-01T08:00:00Z","updated_at":"2026-07-24T02:27:41Z","subjects":["ETD","Latex","Thesis","Mathematics","Applied Statistics","Multivariate Analysis","Statistics and Probability"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/842","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Goran Lesaja","Shijun Zheng"]},{"key":"dc:creator","label":"Author","values":["Malhi, Satbir"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2013-09-17T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (restricted to Georgia Southern)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ETD","Latex","Thesis","Mathematics","Applied Statistics","Multivariate Analysis","Statistics and Probability"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/842"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, we give the brief description of two most important tests of Fourier series namely Dini-Dirichel and Kolmogorov-Seliverstov-Plessner test. We develop further some results of L.V. Zhizhiashvili to obtain a multidimensional anisotropic version of the Kolmogorov-Seliverstov-Plessner test on convergence almost everywhere and negative C-summabilities of the Fourier series.
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