On the almost everywhere convergence of double Fourier series of integrable functions |
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Authors: | М. Г. Григорян |
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Affiliation: | 1. ФИЗИЧЕСКИЙ ФАКУЛ ЬТЕТ, ЕРЕВАНСКИЙ ГОСУД АРСТВЕННЫЙ УНИВЕРСИ ТЕТ, МРАВЯ НА 1, 375 049, ЕРЕВАН, СССР
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Abstract: | ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![bcy](/content/r32h631772x77g28/xxlarge1073.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![khcy](/content/r32h631772x77g28/xxlarge1093.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![yucy](/content/r32h631772x77g28/xxlarge1102.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![fcy](/content/r32h631772x77g28/xxlarge1092.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) , ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![yacy](/content/r32h631772x77g28/xxlarge1103.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![gcy](/content/r32h631772x77g28/xxlarge1075.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![softcy](/content/r32h631772x77g28/xxlarge1100.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![jcy](/content/r32h631772x77g28/xxlarge1081.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![yacy](/content/r32h631772x77g28/xxlarge1103.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![Fcy](/content/r32h631772x77g28/xxlarge1060.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![softcy](/content/r32h631772x77g28/xxlarge1100.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![fcy](/content/r32h631772x77g28/xxlarge1092.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![tscy](/content/r32h631772x77g28/xxlarge1094.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![zcy](/content/r32h631772x77g28/xxlarge1079.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![zcy](/content/r32h631772x77g28/xxlarge1079.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![zcy](/content/r32h631772x77g28/xxlarge1079.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![zcy](/content/r32h631772x77g28/xxlarge1079.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) . ![Dcy](/content/r32h631772x77g28/xxlarge1044.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![zcy](/content/r32h631772x77g28/xxlarge1079.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![yucy](/content/r32h631772x77g28/xxlarge1102.gif) ![shchcy](/content/r32h631772x77g28/xxlarge1097.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![yacy](/content/r32h631772x77g28/xxlarge1103.gif) ![Tcy](/content/r32h631772x77g28/xxlarge1058.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) .![Pcy](/content/r32h631772x77g28/xxlarge1055.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) Qk [0,2 ],k=1,2, —![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![shcy](/content/r32h631772x77g28/xxlarge1096.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![gcy](/content/r32h631772x77g28/xxlarge1075.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![zhcy](/content/r32h631772x77g28/xxlarge1078.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) . ![Tcy](/content/r32h631772x77g28/xxlarge1058.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![gcy](/content/r32h631772x77g28/xxlarge1075.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![yucy](/content/r32h631772x77g28/xxlarge1102.gif) ![bcy](/content/r32h631772x77g28/xxlarge1073.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![fcy](/content/r32h631772x77g28/xxlarge1092.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) F(x, y) L(T), T=[0, 2 ]2,![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![zhcy](/content/r32h631772x77g28/xxlarge1078.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![fcy](/content/r32h631772x77g28/xxlarge1092.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![tscy](/content/r32h631772x77g28/xxlarge1094.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) G(x, y) L(T) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) , ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) G(x,y)=F(x,y) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) Q=Q1×Q2 ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![yacy](/content/r32h631772x77g28/xxlarge1103.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![gcy](/content/r32h631772x77g28/xxlarge1075.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![softcy](/content/r32h631772x77g28/xxlarge1100.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![fcy](/content/r32h631772x77g28/xxlarge1092.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![acy](/content/r32h631772x77g28/xxlarge1072.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) - ![ycy](/content/r32h631772x77g28/xxlarge1099.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![mcy](/content/r32h631772x77g28/xxlarge1084.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![jcy](/content/r32h631772x77g28/xxlarge1081.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![gcy](/content/r32h631772x77g28/xxlarge1075.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![yacy](/content/r32h631772x77g28/xxlarge1103.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![rcy](/content/r32h631772x77g28/xxlarge1088.gif) ![softcy](/content/r32h631772x77g28/xxlarge1100.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![vcy](/content/r32h631772x77g28/xxlarge1074.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![fcy](/content/r32h631772x77g28/xxlarge1092.gif) ![ucy](/content/r32h631772x77g28/xxlarge1091.gif) ![ncy](/content/r32h631772x77g28/xxlarge1085.gif) ![kcy](/content/r32h631772x77g28/xxlarge1082.gif) ![tscy](/content/r32h631772x77g28/xxlarge1094.gif) ![icy](/content/r32h631772x77g28/xxlarge1080.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![khcy](/content/r32h631772x77g28/xxlarge1093.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) ![yacy](/content/r32h631772x77g28/xxlarge1103.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![lcy](/content/r32h631772x77g28/xxlarge1083.gif) ![iecy](/content/r32h631772x77g28/xxlarge1077.gif) ![pcy](/content/r32h631772x77g28/xxlarge1087.gif) ![ocy](/content/r32h631772x77g28/xxlarge1086.gif) ![chcy](/content/r32h631772x77g28/xxlarge1095.gif) ![tcy](/content/r32h631772x77g28/xxlarge1090.gif) ![scy](/content/r32h631772x77g28/xxlarge1089.gif) ![yucy](/content/r32h631772x77g28/xxlarge1102.gif) ![dcy](/content/r32h631772x77g28/xxlarge1076.gif) . |
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