# Applications of Hypergroups and Related Measure Algebras

### About this Title

**William C. Connett**, **Marc-Olivier Gebuhrer** and **Alan L. Schwartz**, Editors

Publication: Contemporary Mathematics

Publication Year
1995: Volume 183

ISBNs: 978-0-8218-0297-7 (print); 978-0-8218-7774-6 (online)

DOI: http://dx.doi.org/10.1090/conm/183

MathSciNet review: 1334767

### Table of Contents

**Front/Back Matter**

**Articles**

- N. Ben Salem and M. N. Lazhari – Limit theorems for some hypergroup structures on $\mathbf {R}^n\times [0,\infty )$ [MR 1334768]
- Yu. M. Berezansky – Nuclear spaces of test functions connected with hypercomplex systems and representations of such systems [MR 1334769]
- Yu. M. Berezansky and A. A. Kalyuzhnyĭ – Hypercomplex systems and hypergroups: connections and distinctions [MR 1334770]
- Walter R. Bloom and Zeng Fu Xu – The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups [MR 1334771]
- H. Chébli – Sturm-Liouville hypergroups [MR 1334772]
- William C. Connett and Alan L. Schwartz – Continuous $2$-variable polynomial hypergroups [MR 1334773]
- Pierre Eymard – A survey of Fourier algebras [MR 1334774]
- A. Fitouhi and M. M. Hamza – Expansion in series of Laguerre functions for solution of perturbed Laguerre equations [MR 1334775]
- Léonard Gallardo – Asymptotic behaviour of the paths of random walks on some commutative hypergroups [MR 1334776]
- Marc-Olivier Gebuhrer – Bounded measures algebras: a fixed point approach [MR 1334777]
- Herbert Heyer – Progress in the theory of probability on hypergroups [MR 1334778]
- Tom H. Koornwinder – Discrete hypergroups associated with compact quantum Gel′fand pairs [MR 1334779]
- B. M. Levitan – Transmutation operators and the inverse spectral problem [MR 1334780]
- Mohammed Mabrouki – Limit theorems for the spin process [MR 1334781]
- N. H. Mahmoud – Differential operators with matrix coefficients and transmutations [MR 1334782]
- B. P. Osilenker – Generalized product formula for orthogonal polynomials [MR 1334783]
- G. B. Podkolzin – An infinitesimal algebra of the hypergroup generated by double cosets and nonlinear differential equations [MR 1334784]
- Margit Rösler – Convolution algebras which are not necessarily positivity-preserving [MR 1334785]
- Kenneth A. Ross – Signed hypergroups—a survey [MR 1334786]
- V. S. Sunder – On the relation between subfactors and hypergroups [MR 1334787]
- Ryszard Szwarc – Connection coefficients of orthogonal polynomials with applications to classical orthogonal polynomials [MR 1334788]
- K. Trimèche – Generalized transmutation and translation operators associated with partial differential operators [MR 1334789]
- Leonid Vainerman – Gel′fand pairs of quantum groups, hypergroups and $q$-special functions [MR 1334790]
- Michael Voit – Central limit theorems for Jacobi hypergroups [MR 1334791]
- N. J. Wildberger – Finite commutative hypergroups and applications from group theory to conformal field theory [MR 1334792]
- Hansmartin Zeuner – Kolmogorov’s three series theorem on one-dimensional hypergroups [MR 1334793]