Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (4): 480-486.
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(Department of Mathematics,Nanjing University,Nanjiang 210093)
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Abstract:
In this paper we difine the concept of general ingegrated semigroup.The generator and genaration of this general integrated semigroup are discussed. Also, some examples and applications are given.
Key words: General integrated semigroup, Integrated semigroup, Generator.
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Shen Junhao Song Guozhu. General Integrated Semigroups[J].Acta mathematica scientia,Series A, 2000, 20(4): 480-486.
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http://121.43.60.238/sxwlxbA/EN/Y2000/V20/I4/480
１ ＧｏｌｄｓｔｅｉｎＪＡ．Ｓｅｍｉｇｒｏｕｐｓｏｆｌｉｎｅａｒｏｐｅｒａｔｏｒｓａｎｄａｐｐｌｉｃａｔｉｏｎｓ．ＯｚｆｏｒｄＵｎｉｖＰｒｅｓｓ ２ ＨｉｌｌｅＥ，ＰｈｉｌｌｉｐｓＲＳ．Ｆｕｎｃｔｉｏｎａｌａｎａｌｙｓｉｓａｎｄｓｅｍｉｇｒｏｕｐｓ．ＡｍｅｒＭａｔｈＳｏｃＣｏｌｌｏｇＰｕｂｌ，１９７５，３１ ３ ＡｒｅｎｄｔＷ．Ｖｅｃｔｏｒｖａｌｕｅｄｌａｐｌａｃｅｔｒａｎｓｆｏｒｍａｎｄｃａｕｃｈｙｐｒｏｂｌｅｍ．ＩｓｒａｅｌＪＭａｔｈ，１９８７，５９：３２７－３５２． ４ ＨｉｅｂｅｒＭ．ｓｐｅｃｔｒａｏｆｐｅｓｕｄｏｄｉｆｆｅｒｅｎｔｉａｌｏｐｅｒｔｏｒｓｇｅｎｅｒａｔｉｎｇｉｎｔｅｇｒａｔｅｄｓｅｍｉｇｒｏｕｐｓ．ＴｒａｎｓｏｆＡｍｅｒＭａｔｈＳｏｃ，１９９５， １０（３４７）：４０２３－４０３５． ５ ＤｅｌａｕｂｅｎｆｅｌｓＲ．Ｅｘｉｓｔｅｎｃｅｆａｍｉｌｙ，ｆｕｎｃｔｉｏｎａｌｃａｌｃｕｌｉａｎｄｅｖｏｌｕｔｉｏｎｅｑｕａｔｉｏｎｓ．ＬｅｃｔｕｒｅＮｏｔｅｓｉｎ Ｍａｔｈ，１５７０，１９９４． ６ Ｍｉｌｏｒａｄ，ＭｉｊａｔｏｖｉｃａｎｄＳｔｅｖｅｎＰｉｌｐｏｖｉｃ，αｔｉｍｅｓｉｎｔｅｇｒｔｅｄｓｅｍｉｇｒｏｕｐｓ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９７，２１０（２）：７９０－８０３． ７ ＳｈｅｎＪｕｎｈａｏ，ＳｏｎｇＧｕｏｚｈｕ．Ｔｈｅｌａｐｌａｃｅｔｒａｎｓｆｏｒｍｓａｎｄｉｎｔｅｇｒａｔｅｄｓｅｍｉｇｒｏｕｐｓ．ＪｏｆＮａｎｚｉｎｇＵｎｉｖ ＭａｔｈＢｉｑｕａｒｔｅｒｌｙ， １９９７，１４（１）：１３－２２ ８ ＩｈａＦＴ，ＳｃｈｕｂｅｒＣＦ．Ｔｈｅｓｐｅｃｔｒｕｍｏｆｐｅｒｔｉａｌｏｐｅｒａｔｏｒｓａｎｄａｐｐｌｉｃａｔｉｏｎｓｔｏｐａｒｔｉａｌｄｉｆｆｅｒｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＳｐｒｉｎｇｅｒＶｅｒ ｌａｇ，１９９３． ９ Ｈ¨ｏｒｍａｎｄｅｒＬ．Ｅｓｔｉｍａｔｅｓｆｏｒｔｒａｓｌａｔｉｏｎｉｎｖａｒｉａｎｔｏｐｅｒａｔｏｒｓｉｎ ｓｐａｃｅｓ．ＡｃｔａＭａｔｈ，１９６０，１０４：９３－１４０ １０ ＨｉｅｂｅｒＭ．Ｉｎｔｅｇｒａｔｅｄｓｅｍｉｇｒｏｕｐｓａｎｄｄｉｆｆｅｒｅｎｔｉａｌｏｐｅｒａｔｏｒｓｏｎ ｓｐａｃｅ．ＭａｔｈＡｎｎ，１９９１，２９１：１－１６
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