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Spectral Decomposition of Pseudo-cuspforms, and Meromorphic Continuation of Eisenstein Series, on Q-rank One Arithmetic Quotients

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서명/저자사항Spectral Decomposition of Pseudo-cuspforms, and Meromorphic Continuation of Eisenstein Series, on Q-rank One Arithmetic Quotients.
개인저자Walkoe, Iver.
단체저자명University of Minnesota. Mathematics.
발행사항[S.l.]: University of Minnesota., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항180 p.
기본자료 저록Dissertations Abstracts International 81-02B.
Dissertation Abstract International
ISBN9781085587884
학위논문주기Thesis (Ph.D.)--University of Minnesota, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-02, Section: B.
Advisor: Garrett, Paul B.
이용제한사항This item must not be sold to any third party vendors.
요약In this paper, we extend Lax-Phillips' discreteness of pseudo-cuspforms, in the style of Colin de Verdiere's use of the Friedrichs self-adjoint extension of a restriction of the Laplace-Beltrami operator, as opposed to the use of semigroup methods. We use this to prove meromorphic continuation of Eisenstein series in the Q-rank one case, again following Colin de Verdiere, as opposed to the semigroup-oriented viewpoint of Lax-Phillips and W. Mueller.
일반주제명Mathematics.
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