A test of convergence of Fourier series with respect to multiplicative systems,analogous to the Jordan test |
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Authors: | В И Щербаков |
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Institution: | 1. МОСКОВСКИЙ АВИА ЦИОННЫЙ ТЕХНОЛОГИЧЕ СКИЙ ИНСТИТУТ ИМ. К. Э. Ц ИОЛКОВСКОГО, ПЕТРО ВКА 27, 103 767, МОСКВА, СССР
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Abstract: | ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![bcy](/content/U84651M6J5612N6K/xxlarge1073.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![mcy](/content/U84651M6J5612N6K/xxlarge1084.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![zcy](/content/U84651M6J5612N6K/xxlarge1079.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![kcy](/content/U84651M6J5612N6K/xxlarge1082.gif) ![ZHcy](/content/U84651M6J5612N6K/xxlarge1046.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![dcy](/content/U84651M6J5612N6K/xxlarge1076.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ucy](/content/U84651M6J5612N6K/xxlarge1091.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![softcy](/content/U84651M6J5612N6K/xxlarge1100.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![kcy](/content/U84651M6J5612N6K/xxlarge1082.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ycy](/content/U84651M6J5612N6K/xxlarge1099.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![mcy](/content/U84651M6J5612N6K/xxlarge1084.gif) , ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![zhcy](/content/U84651M6J5612N6K/xxlarge1078.gif) ![dcy](/content/U84651M6J5612N6K/xxlarge1076.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ycy](/content/U84651M6J5612N6K/xxlarge1099.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![gcy](/content/U84651M6J5612N6K/xxlarge1075.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![chcy](/content/U84651M6J5612N6K/xxlarge1095.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![tscy](/content/U84651M6J5612N6K/xxlarge1094.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![chcy](/content/U84651M6J5612N6K/xxlarge1095.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![dcy](/content/U84651M6J5612N6K/xxlarge1076.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![softcy](/content/U84651M6J5612N6K/xxlarge1100.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) {p
n}
n=0
(p0=1, n 2 ![dcy](/content/U84651M6J5612N6K/xxlarge1076.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) n 2). ![Ocy](/content/U84651M6J5612N6K/xxlarge1054.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![zcy](/content/U84651M6J5612N6K/xxlarge1079.gif) ![ucy](/content/U84651M6J5612N6K/xxlarge1091.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![softcy](/content/U84651M6J5612N6K/xxlarge1100.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![acy](/content/U84651M6J5612N6K/xxlarge1072.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![softcy](/content/U84651M6J5612N6K/xxlarge1100.gif) : ![IEcy](/content/U84651M6J5612N6K/xxlarge1045.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![chcy](/content/U84651M6J5612N6K/xxlarge1095.gif) ![kcy](/content/U84651M6J5612N6K/xxlarge1082.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![pcy](/content/U84651M6J5612N6K/xxlarge1087.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![rcy](/content/U84651M6J5612N6K/xxlarge1088.gif) ![ycy](/content/U84651M6J5612N6K/xxlarge1099.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![tcy](/content/U84651M6J5612N6K/xxlarge1090.gif) x ![fcy](/content/U84651M6J5612N6K/xxlarge1092.gif) ![ucy](/content/U84651M6J5612N6K/xxlarge1091.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![kcy](/content/U84651M6J5612N6K/xxlarge1082.gif) ![tscy](/content/U84651M6J5612N6K/xxlarge1094.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif) f(t) V(G) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![softcy](/content/U84651M6J5612N6K/xxlarge1100.gif) ![shcy](/content/U84651M6J5612N6K/xxlarge1096.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![iecy](/content/U84651M6J5612N6K/xxlarge1077.gif) ![ncy](/content/U84651M6J5612N6K/xxlarge1085.gif) ![ucy](/content/U84651M6J5612N6K/xxlarge1091.gif) ![scy](/content/U84651M6J5612N6K/xxlarge1089.gif) ![lcy](/content/U84651M6J5612N6K/xxlarge1083.gif) ![ocy](/content/U84651M6J5612N6K/xxlarge1086.gif) ![vcy](/content/U84651M6J5612N6K/xxlarge1074.gif) ![icy](/content/U84651M6J5612N6K/xxlarge1080.gif)
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