LDR | | 00000nam u2200205 4500 |
001 | | 000000431634 |
005 | | 20200224103526 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
020 | |
▼a 9781392318959 |
035 | |
▼a (MiAaPQ)AAI13917962 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
082 | 0 |
▼a 530 |
100 | 1 |
▼a Tan, Qijun. |
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▼a Asymptotically Contained Representations and the Spherical Plancherel Formula. |
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▼a [S.l.]:
▼b The Pennsylvania State University.,
▼c 2019. |
260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 94 p. |
500 | |
▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B. |
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▼a Publisher info.: Dissertation/Thesis. |
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▼a Advisor: Higson, Nigel. |
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▼a Thesis (Ph.D.)--The Pennsylvania State University, 2019. |
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▼a We introduce the notion of asymptotic containment of representations of C*-algebras. The spectral measure of the ambient representation is closely related to the spectral measure of an asymptotically contained one. When G is a real reductive Lie group with Iwasawa decomposition KAN, and when M is the center of A in K, we show that the action of C*(G//K) on L2(K\\G/MN) is asymptotically contained in its action on L2(G//K). This fact can be used to prove Harish-Chandra's spherical Plancherel formula. Part of this thesis is a joint work with Nigel Higson. |
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▼a School code: 0176. |
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▼a Mathematics. |
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▼a Theoretical Mathematics. |
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▼a Theoretical physics. |
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▼a 0405 |
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▼a 0642 |
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▼a 0753 |
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▼a The Pennsylvania State University.
▼b Mathematics. |
773 | 0 |
▼t Dissertations Abstracts International
▼g 80-12B. |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0176 |
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▼a Ph.D. |
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▼a 2019 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492644
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
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▼a 202002
▼f 2020 |
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▼a ***1008102 |
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▼a E-BOOK |