Applications of Hypergroups and Related Measure Algebras : A Joint Summer Research Conference, July 10-August 6, 1993, Seattle, Washington.

Intro -- Contents -- Preface -- Limit theorems for some hypergroup structures on Rn x [0, ∞[ -- Nuclear spaces of test functions connected with hypercomplex systems and representations of such systems -- Hypercomplex systems and hypergroups: Connections and distinctions -- The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups -- Sturm-Liouville hypergroups -- Continuous 2-variable polynomial hypergroups -- A survey of Fourier algebras -- Expansion in series of Laguerre functions for solution of perturbed Laguerre equations -- Asymptotic behaviour of the paths of random walks on some commutative hypergroups -- I. Preliminaries on classical random walks -- II. Random walks on hypergroups -- III. Recurrence and transience behaviour -- IV. Laws of large numbers -- V. Central limit theorems -- Bounded measures algebras: A fixed point approach -- Progress in the theory of probability on hypergroups -- Discrete hypergroups associated with compact quantum Gelfand pairs -- Transmutation operators and the inverse spectral problem -- Limit theorems for the spin process -- Differential operators with matrix coefficients and transmutations -- Generalized product formula for orthogonal polynomials -- An infinitesimal algebra of the hypergroup generated by double cosets and nonlinear differential equations -- Convolution algebras which are not necessarily positivity-preserving -- Signed hypergroups-a survey -- On the relation between subfactors and hypergroups -- Connection coefficients of orthogonal polynomials with applications to classical orthogonal polynomials -- Generalized transmutation and translation operators associated with partial differential operators -- Gel'fand pairs of quantum groups, hypergroups and q-special functions -- Central limit theorems for Jacobi hypergroups.

Finite commutative hyper groups and applications from group theory to conformal field theory -- Kolmogorov's three series theorem on one-dimensional hypergroups.

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