ID 31918
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アイゼンシュタイン積分のハリッシュ・チャンドラ展開の係数のガンゴリー評価とハリッシュ・チャンドラのC関数の表示
creator
Koizumi, Shin
NDC
Mathematics
contents
CONTENTS / p1
1.Introduction / p1
2.Notation and Preliminaries / p4
3.Eisenstein integrals and the Harish-Chandra expansion / p5
4.The series expansion of Δ(h)1/2 ∘ A(w) ∘ Δ(h)-1/2 / p6
5.The Estimate of the coefficients of Γλ / p9
6.Connection with C-function and Intertwining operator / p14
7.Infinitesimal operator of the Principal series / p15
8.Representations of K and M / p21
9.The Recursion Formula for the C-function / p24
10.Fundamental representations of K / p25
11.Expressions of the Harish-Chandra C-functions / p27
12.Composition series and unitarizability of SU(n,1) / p28
13.Restriction of Discrete series / p31
References / p39
SelfDOI
language
eng
nii type
Thesis or Dissertation
HU type
Doctoral Theses
DCMI type
text
format
application/pdf
text version
ETD
rights
Copyright(c) by Author
relation references
・The Gangolli estimates for the coefficients of the Harish-Chandra expansions of the Eisenstein integrals on real reductive Lie groups (簡約可能リー群のアイゼンシュタイン積分のハリッシュ・チャンドラ展開の係数のガンゴリー評価) (Masaaki Eguchi, Shin Koizumi and Michihiko Hashizume) Hiroshima Mathematical Journal, Vol. 17, No. 3, (1987), pp. 457-469
・Determination of the Harish-Chandra C-function for SU(n,1) and its application to the construction of the composition series (SU(n,1)のハリッシュ・チャンドラのC関数の決定と組成列の構成への応用) (Masaaki Eguchi and Shin Koizumi) Proceedings of the Japan Academy, Ser. A, Vol. 72, No. 6, (1996), pp. 121-125
relation references URL
http://projecteuclid.org/euclid.hmj/1206129955
http://projecteuclid.org/euclid.pja/1195510317
grantid
乙第2982号
degreeGrantor
広島大学(Hiroshima University)
degreename Ja
博士(理学)
degreename En
Physical Science
degreelevel
doctoral
date of granted
1997-07-28
department
Graduate School of Science