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Applications of hypergroups and related measure algebras : a Joint Summer Research Conference on Applications of Hypergroups and Related Measure Algebras, July 31-August 6, 1993, Seattle, Washington / William C. Connett, Marc-Olivier Gebuhrer, Alan L. Schwartz, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- Joint Summer Research Conference on Applications of Hypergroups and Related Measure Algebras (1993 : Seattle, Wash.), issuing body.
- Joint Summer Research Conference on Applications of Hypergroups and Related Measure Algebras
- Series:
- Contemporary mathematics (American Mathematical Society) ; 183.
- Contemporary mathematics, 0271-4132 ; 183
- Language:
- English
- Subjects (All):
- Hypergroups--Congresses.
- Hypergroups.
- Measure algebras--Congresses.
- Measure algebras.
- Physical Description:
- 1 online resource (458 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1995]
- Language Note:
- English
- Summary:
- `The most important single thing about this conference was that it brought together for the first time representatives of all major groups of users of hypergroups. [They] talked to each other about how they were using hypergroups in fields as diverse as special functions, probability theory, representation theory, measure algebras, Hopf algebras, and Hecke algebras. This led to fireworks.' - from the Introduction. Hypergroups occur in a wide variety of contexts, and mathematicians the world over have been discovering this same mathematical structure hidden in very different applications. The diverse viewpoints on the subject have led to the need for a common perspective, if not a common theory. Presenting the proceedings of a Joint Summer Research Conference held in Seattle in the summer of 1993, this book will serve as a valuable starting point and reference tool for the wide range of users of hypergroups and make it easier for an even larger audience to use these structures in their work.
- Contents:
- ""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""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7774-7
- 0-8218-5520-4
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