Pointwise convergence of multiple Fourier series using different convergence notions |
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Authors: | F Móricz V Totik |
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Institution: | (1) Bolyai Institute, University of Szeged, Akadi Vértanúk Tere 1, 6720 Szeged, Hungary |
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Abstract: | ![Scy](/content/p5t566u325582613/xxlarge1057.gif) ![khcy](/content/p5t566u325582613/xxlarge1093.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![mcy](/content/p5t566u325582613/xxlarge1084.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![kcy](/content/p5t566u325582613/xxlarge1082.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![gcy](/content/p5t566u325582613/xxlarge1075.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![yacy](/content/p5t566u325582613/xxlarge1103.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![pcy](/content/p5t566u325582613/xxlarge1087.gif) ![Pcy](/content/p5t566u325582613/xxlarge1055.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![gcy](/content/p5t566u325582613/xxlarge1075.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![khcy](/content/p5t566u325582613/xxlarge1093.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![jcy](/content/p5t566u325582613/xxlarge1081.gif) ![mcy](/content/p5t566u325582613/xxlarge1084.gif) ![ycy](/content/p5t566u325582613/xxlarge1099.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![kcy](/content/p5t566u325582613/xxlarge1082.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![gcy](/content/p5t566u325582613/xxlarge1075.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![gcy](/content/p5t566u325582613/xxlarge1075.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![yacy](/content/p5t566u325582613/xxlarge1103.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![khcy](/content/p5t566u325582613/xxlarge1093.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![mcy](/content/p5t566u325582613/xxlarge1084.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) , ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![bcy](/content/p5t566u325582613/xxlarge1073.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![zhcy](/content/p5t566u325582613/xxlarge1078.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![bcy](/content/p5t566u325582613/xxlarge1073.gif) ![shchcy](/content/p5t566u325582613/xxlarge1097.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![chcy](/content/p5t566u325582613/xxlarge1095.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) . ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![bcy](/content/p5t566u325582613/xxlarge1073.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) , ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![jcy](/content/p5t566u325582613/xxlarge1081.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![gcy](/content/p5t566u325582613/xxlarge1075.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![yacy](/content/p5t566u325582613/xxlarge1103.gif) 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![pcy](/content/p5t566u325582613/xxlarge1087.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![chcy](/content/p5t566u325582613/xxlarge1095.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![yucy](/content/p5t566u325582613/xxlarge1102.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ecy](/content/p5t566u325582613/xxlarge1101.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![zhcy](/content/p5t566u325582613/xxlarge1078.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![khcy](/content/p5t566u325582613/xxlarge1093.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![gcy](/content/p5t566u325582613/xxlarge1075.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![yacy](/content/p5t566u325582613/xxlarge1103.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) . ![Ecy](/content/p5t566u325582613/xxlarge1069.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![yacy](/content/p5t566u325582613/xxlarge1103.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![kcy](/content/p5t566u325582613/xxlarge1082.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![zcy](/content/p5t566u325582613/xxlarge1079.gif) ![ycy](/content/p5t566u325582613/xxlarge1099.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![iecy](/content/p5t566u325582613/xxlarge1077.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![pcy](/content/p5t566u325582613/xxlarge1087.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![pcy](/content/p5t566u325582613/xxlarge1087.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![softcy](/content/p5t566u325582613/xxlarge1100.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![acy](/content/p5t566u325582613/xxlarge1072.gif) ![zcy](/content/p5t566u325582613/xxlarge1079.gif) ![lcy](/content/p5t566u325582613/xxlarge1083.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![chcy](/content/p5t566u325582613/xxlarge1095.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![jcy](/content/p5t566u325582613/xxlarge1081.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![khcy](/content/p5t566u325582613/xxlarge1093.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![icy](/content/p5t566u325582613/xxlarge1080.gif) ![mcy](/content/p5t566u325582613/xxlarge1084.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![scy](/content/p5t566u325582613/xxlarge1089.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![vcy](/content/p5t566u325582613/xxlarge1074.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) -![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ycy](/content/p5t566u325582613/xxlarge1099.gif) ![tcy](/content/p5t566u325582613/xxlarge1090.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![jcy](/content/p5t566u325582613/xxlarge1081.gif) ![ncy](/content/p5t566u325582613/xxlarge1085.gif) ![ycy](/content/p5t566u325582613/xxlarge1099.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![yacy](/content/p5t566u325582613/xxlarge1103.gif) ![dcy](/content/p5t566u325582613/xxlarge1076.gif) ![ocy](/content/p5t566u325582613/xxlarge1086.gif) ![Fcy](/content/p5t566u325582613/xxlarge1060.gif) ![ucy](/content/p5t566u325582613/xxlarge1091.gif) ![rcy](/content/p5t566u325582613/xxlarge1088.gif) ![softcy](/content/p5t566u325582613/xxlarge1100.gif) .
This work was completed while the first named author was a visiting professor at Indiana University, Bloomington, Indiana; and the second named author was a visiting professor at Ohio State University, Columbus, Ohio, U.S.A. |
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