Index
£ £ , uni t bal l o f C , 2
J3£, uni t b a l l o f ^ , 4
R, spherica l Rado n transform , 12
Rm, dua l Rado n transform , 3 4
Rn-k, (n—fc)-dimensiona l spherica l Rado n
transform , 33
üftg, rea l par t o f g , 15
\q], ceilin g function , 4 3
TZ, Rado n transform , 12
/c-intersection body , 2 4
/c-intersection bod y o f a sta r body , 2 3
Busemann-Petty problem , 3 9
Busemann-Petty proble m for arbitrary mea -
sures, 4 2
Cauchy projectio n formula , 6 0
completely monotoni c function , 5
constant o f isotropy , 9 6
curvature function , 6 0
distribution, 9
embedding i n L
p
, 6 7
Fourier transfor m o f a distribution , 9
fractional derivative , 15
fractional powe r o f th e Laplacian , 4 3
generalized /c-intersectio n body , 3 3
h-convex body , 4 7
hyperbolic space , 4 6
intersection body , 2 1
intersection bod y o f a sta r body , 2 1
isomorphic Busemann-Petty problem , 9 8
isotropic body , 9 6
Levy representation , 6 7
lower dimensional Busemann-Petty prob -
lem, 5 5
Lutwak connections , 3 9
Minkowski functional , 11
Minkowski's first inequality , 6 4
Minkowski's uniquenes s theorem , 14
mixed volume , 6 4
non-Euclidean Busemann-Petty problem ,
45
normalized positive g-stable random vari-
able, 7 2
parallel sectio n function , 14
Parseval's formula , 19
polar projectio n body , 6 8
positive definit e distribution , 18
projection body , 6 2
radial metric , 2 1
s-convex body , 4 6
Shephard's problem , 6 3
slicing problem , 9 6
spherical Parseval' s formula , 19
spherical space , 4 6
star body , 11
support function , 6 1
surface are a measure , 5 9
Symmetrie normalize d g-stabl e rando m
variable, 7 1
test function , 9
totally geodesi c submanifold , 4 7
107
Previous Page Next Page