The Gangolli estimate for the coefficients of the Harish-Chandra expansions of the Eisenstein integrals and the expressions of the Harish-Chandra C-functions
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| Title ( eng ) |
The Gangolli estimate for the coefficients of the Harish-Chandra expansions of the Eisenstein integrals and the expressions of the Harish-Chandra C-functions
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| Title ( jpn ) |
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
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| Creator |
Koizumi Shin
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| Descriptions |
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 |
| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | doctoral thesis |
| Rights |
Copyright(c) by Author
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| Publish Type | Not Applicable (or Unknown) |
| Access Rights | open access |
| Source Identifier |
・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
references
・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
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[URI] http://projecteuclid.org/euclid.hmj/1206129955
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[URI] http://projecteuclid.org/euclid.pja/1195510317
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| Dissertation Number | 乙第2982号 |
| Degree Name | |
| Date of Granted | 1997-07-28 |
| Degree Grantors |
広島大学
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