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S.S.Gelbart, S.Rallis, I.Piatetski-Shapiro — Explicit Constructions of Automorphic L-Functions |
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Предметный указатель |
, 24
23
29
21
135
60
3
60
105
3
104
109
23
12
3
, 8
5
, 20
58
60
102
101
102
53
72
101
105
105
61
28
60
24
67
99
38
, 8
21
61
21
, 19
22
72
103
59
87
99
95
53
Anti-symmetric square representation 134
Asymptotic expansions 125—126
Basic identity 3 59 50 63 66
Bernstein — Zelevinsky theory 101
Bernstein's theory 126
Combinatorial lemma 31
Cuspidal data 107
Derivative of a representation 103
Doubling variables technique 7 16
Eisenstein series E(h, s) 3 60 63 65
Euler product expansions 93
Fourier expansion of 65
Fourier expansion of a cusp form 59 61
Gindikin — Karpelevich method 23
Global zeta-integral I(s, , E) 60 62 65
Godement — Jacquet construction 10
I(s, , E) 60
| Intertwining operators 22 100
Jacquet functor, modified 102
Jacquet functor, ordinary 102
Jacquet module 105
Jordan — Holder series 106
k-th derivative of 103
Kato formula 139
Kirillov model 126
L(2s', , ) 134
L(s, , r) 53
L(s, , ) 135
L(s, , ) 135
Langlands' conjecture 53
Langlands' theory of Eisenstein series 133
Levi decomposition 68
Lifting problem 54
Local coefficients of Shahidi 135
Local factors for GL(n) 34 36
Local factors for O(2n) and Sp(2n) 36 45
Local functional equation 99
Local Langlands factor 53
M(s) 99
Main orbit 2
Maximal parabolic subgroup 68
Metaplectic group, global 86
Metaplectic group, local 86
Method A 59
Method B 62
Method C 64
MP 86
Negligible orbits 2 4 15 115
Non-degenerate character 73 82
Normalized Eisenstein series 135
Ordinary induction 109
Orthogonal groups 11
P* 77
Poincare polynomials 138
Quaternionic hermitian group 14
R(G) 87
Rankin — Selberg method 54 97
Rankin — Selberg type L-functions 3
Shimura type zeta-integral 91
Shimura's method 91
Simple roots for SO(2n + 1) or SO(2n) 73
Simple roots for Sp(2n) 88
Small representation 118
SO(2n) 69
SO(V) 67
Sp(n), SP(V) 85
Special Eisenstein series 21
Special Orthogonal group 67
Spin groups 97
Standard cuspidal subgroup 58
Standard representation of Gelfand — Graev 104
Symplectic group 7 85
Theorem A 60
Theorem B 63
Theorem C 66
Theta-functions 87
Unitary groups 11 97 98
Unramified local zeta integral 137—138
V' 69
Weil representation 87
Whittaker model for 61 93
X, 67
Z(, s, ) 12
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