INFINITE DIMENSIONAL HARMONIC ANALYSIS IV<br> On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability

INFINITE DIMENSIONAL HARMONIC ANALYSIS IV
On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability
Proceedings of the Fourth German–Japanese Symposium

The University of Tokyo, Japan, 10 - 14 September 2007

CONTENTS


FRONT MATTER	i
Index Theory for Wiener–Hopf Operators on Convex Cones A. Alldridge	1
A variant of the Frobenius reciprocity for restricted representations on nilpotent Lie groups Ali BAKLOUTI, Hidenori FUJIWARA and Jean LUDWIG	13
Mehler hemigroups and embedding of discrete skew convolution semigroups on simply connected nilpotent Lie groups P. Becker-Kern and W. Hazod	32
TRANSFORMS, POLYNOMIALS AND INTEGRABLE MODELS ASSOCIATED WITH REFLECTION GROUPS CHARLES F. DUNKL	47
Positive and negative definite functions on a hypergroup and its dual H. HEYER	63
Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one J. Hilgert and A. D. Pohl	97
TOWARDS PROJECTIVE REPRESENTATIONS AND SPIN CHARACTERS OF FINITE AND INFINITE COMPLEX REFLECTION GROUPS TAKESHI HIRAI, ETSUKO HIRAI and AKIHITO HORA	112
AN IRREDUCIBLE HOMOGENEOUS NON-SELFDUAL CONE OF ARBITRARY RANK LINEARLY ISOMORPHIC TO THE DUAL CONE Hideyuki ISHI and Takaaki NOMURA	129
EXTENSIONS OF COMMUTATIVE HYPERGROUPS SATOSHI KAWAKAMI	135
REAL HARDY SPACE FOR JACOBI ANALYSIS AND ITS APPLICATIONS TAKESHI KAWAZOE	149
A remark on random groups of the triangular model Takefumi Kondo	163
Asymptotic Behaviour of Quantum Markov Processes B. Kümmerer	168
On α-amenability of commutative hypergroups Rupert Lasser	184
Moments of characteristic polynomials of a random matrix associated with compact symmetric spaces Sho Matsumoto	196
Semi-bounded unitary representations of infinite-dimensional Lie groups K.-H. Neeb	209
A note on the Capelli identities for symmetric pairs of Hermitian type Kyo Nishiyama and Akihito Wachi	223
Convolution algebras for multivariable Bessel functions MARGIT RÖSLER	255
IRREDUCIBLE DECOMPOSITIONS OF UNITARY REPRESENTATIONS AND EXTREMAL DECOMPOSITIONS OF POSITIVE-DEFINITE FUNCTIONS ON GROUPS Hiroaki Shimomura	272
ENSEMBLES OF HERMITIAN RANDOM MATRICES ASSOCIATED TO SYMMETRIC SPACES MICHAEL STOLZ	291
Limit theorems for radial random walks on homogeneous spaces with growing dimensions Michael Voit	308
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