請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/2453完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全(Chiun-Chuan Chen) | |
| dc.contributor.author | Kui-Yo Chen | en |
| dc.contributor.author | 陳奎佑 | zh_TW |
| dc.date.accessioned | 2021-05-13T06:40:24Z | - |
| dc.date.available | 2018-01-27 | |
| dc.date.available | 2021-05-13T06:40:24Z | - |
| dc.date.copyright | 2018-01-27 | |
| dc.date.issued | 2017 | |
| dc.date.submitted | 2017-11-23 | |
| dc.identifier.citation | [1] S.I.Ansari.Hypercyclicandcyclicvectors. Journal ofFunctionalAnalysis, 128:374-383, 1995.
[2] G.Birkho.Anoteontopologicalgroups. CompositioMathematica, pages427-430, 1936. [3] C.-C.Chen.Chaoticweightedtranslationsongroups. ArchivderMathematik, 97:61-68, 2011. [4] C.-C.Chen.Hypercyclicweightedtranslationsgeneratedbynon-torsionelements. ArchivderMathematik, 101:135-141,2013. [5] C.-C.ChenandC.-H.Chu.Hypercyclicweightedtranslationsongroups. Proceed- ings oftheAmericanMathematicalSociety, 139:2839-2846,2011. [6] G.B.Folland.Acourseinabstractharmonicanalysis. CRCPress, 1995. [7] K.-G.Grosse-ErdmannandA.Peris.Linearchaos. Springer, Universitext, 2011. [8] E.HewittandK.Ross.Abstractharmonicanalysis. Springer-Verlag,Heidelberg, 1979. [9] L.KuipersandH.Niederreiter.Uniformdistributionofsequences. A Wiley- intersciencepublication, 1974. [10] A.M.Robert.Acourseinp-adicanalysis. GraduateTextsinMathematics, 198, 2000. [11] R.A.Struble.Metricsinlocallycompactgroups. CompositioMathematica, 28:217-222, 2006. [12] W.S.WolfgangDeschandG.F.Webb.Hypercyclicandchaoticsemigroupsof linear operators. Cambridge UniversityPress, 17:793-819,1997. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/2453 | - |
| dc.description.abstract | 我們主要探討的問題是「局部緊緻群上是否存在超循環權重平移算子？」。首先我們刻劃了非週期性元素的一些等價條件，並給出非週期性元素的超循環權重平移算子存在性。另一方面，我們也給出一些週期性元素的權重平移算子是超循環算子的必要條件。 | zh_TW |
| dc.description.abstract | Our main question is ``Does there exist a hypercyclic weighted translation operator on locally compact groups?'. In this article, we give several equivalent characterization of aperiodicity of an element on locally compact group. If a is an aperiodic element, we show that there exists a frequently hypercyclic weighted translation T_{a,w}. If a is a periodic element, we give necessary conditions of hypercyclic weighted translation T_{a,w}. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-13T06:40:24Z (GMT). No. of bitstreams: 1 ntu-106-R04221001-1.pdf: 2382192 bytes, checksum: d5f83be9ab737d6e92f44323a52ef625 (MD5) Previous issue date: 2017 | en |
| dc.description.tableofcontents | 口試委員會審定書 …………………………………………………………...... i
誌謝 ……………………………………………………………………….…….. ii 中文摘要 ………………………………………………………………..…...….. iii Abstract ………………………………………………………………..…..…….. iv 1 Introduction ………………………………………………………………….… 1 2 Weighted translation operators with aperiodic elements …………………….... 3 2.1 Notations ……………………………………………………………….. 3 2.2 Equivalent statements of aperiodicity …………………………….…… 4 2.3 Existence of hypercyclic weighted translations …………...…………... 12 3 Weighted translation operators with periodic elements …………………….… 16 3.1 Notations ………………………………………………………..…..…. 16 3.1.1 Notation for p-adic analysis …………………..…………………. 17 3.2 Homogeneous equidistribution on compact groups …………………... 18 3.3 A necessary condition of hypercyclic weighted translation operators ... 22 3.4 Some properties of hypercyclic weighted translations on p-adic ……... 25 Bibliography …………………………………………………………………….. 27 | |
| dc.language.iso | en | |
| dc.title | 局部緊緻群上的權重平移算子 | zh_TW |
| dc.title | Weighted translation operators on locally compact groups | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 106-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | 陳怡全(Yi-Chiuan Chen) | |
| dc.contributor.oralexamcommittee | 陳中川(Chung-Chuan Chen),陳其誠(Ki-Seng Tan) | |
| dc.subject.keyword | 非週期性,週期性,超循環算子,權重平移算子,局部緊緻群,Lp空間, | zh_TW |
| dc.subject.keyword | Aperiodicity,periodicity,hypercyclicity,weighted translation operator,locally compact group,Lp-space, | en |
| dc.relation.page | 27 | |
| dc.identifier.doi | 10.6342/NTU201704405 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2017-11-24 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-106-1.pdf | 2.33 MB | Adobe PDF | 檢視/開啟 |
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