Index
analytic vectors in principal series 4
antisymmetrization 26
attracting fixed point 15
augmentation 22
augmentation ideal 30
average 15, 33
base point 23
bilinear Petersson product 117
boundary germ 11
boundary jet 14
boundary map 22
boundary of hyperbolic plane 2
cap product 29
1-chain 26
chain complex on H 25
circle model of principal series 5
coboundary 22
cochain 22
cocompact 25
cocycle relation 29
cofinite 61
cohomology group 21, 28
coinvariants 22
commutator subgroup 84
cup product 117
cup product for parabolic cohomology
119
cusp 61
cusp form 62
1-cycle 26
cyclic interval 18
Dirichlet fundamental domain 28, 65
disk model of hyperbolic plane 1
distribution vectors in principal series 7
duality 7, 13
edge 26
λs-eigenfunction 1
Eisenstein series 92
excised neighborhood 51
extended upper half-plane 65
Fourier expansion 39
free-space resolvent kernel 3
fundamental class 28, 70, 118
fundamental domain 27, 65
geodesic 1
Green’s form viii, 3
group ring 30
homogeneous cocycle 22
homology group 21
horocycle 65
horocyclic disk 65
hyperbolic distance 2
hyperbolic element 15
hyperbolic fixed point 15
hyperbolic plane 1
hyperfunction 6
inhomogeneous cocycle 22
intertwining operator 8
invariant eigenfunction ix, 62
invariants 15
isometry group 2
Laplace operator 2
line model of principal series 4
locally defined module 80
Maass cusp form viii, ix, 62
Maass form viii, ix, 62
Maass-Selberg relation 91
mixed parabolic cocycle 63
mixed parabolic cohomology group x, 63,
69
modular group viii, x, 62, 84
one-sided average 15
parabolic cocycle 63
parabolic cohomology group x, 63, 68
parabolic element 18
parabolic fixed point 18
parabolic resolution 68
period function x, 85, 112
periodlike function 85
129
Previous Page Next Page