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Applications of hypergroups and related measure algebras : [electronic resource] 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.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 183.Publication details: Providence, R.I. : American Mathematical Society, c1995.Description: 1 online resource (xiii, 441 p. : ill.)ISBN:
  • 9780821877746 (online)
Subject(s): Additional physical formats: Applications of hypergroups and related measure algebras :DDC classification:
  • 515/.785 20
LOC classification:
  • QA174.2 .J65 1993
Online resources:
Contents:
Limit theorems for some hypergroup structures on $\mathbf {R}^n\times [0,\infty )$ / N. Ben Salem and M. N. Lazhari -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02053 Nuclear spaces of test functions connected with hypercomplex systems and representations of such systems / Yu. M. Berezansky -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02051 Hypercomplex systems and hypergroups: connections and distinctions / Yu. M. Berezansky and A. A. Kalyuzhny�i -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02052 The Hardy-Littlewood maximal function for Ch�ebli-Trim�eche hypergroups / Walter R. Bloom and Zeng Fu Xu -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02054 Sturm-Liouville hypergroups / H. Ch�ebli -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02055 Continuous $2$-variable polynomial hypergroups / William C. Connett and Alan L. Schwartz -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02056 A survey of Fourier algebras / Pierre Eymard -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02057 Expansion in series of Laguerre functions for solution of perturbed Laguerre equations / A. Fitouhi and M. M. Hamza -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02058 Asymptotic behaviour of the paths of random walks on some commutative hypergroups / L�eonard Gallardo -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02059 Bounded measures algebras: a fixed point approach / Marc-Olivier Gebuhrer -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02060 Progress in the theory of probability on hypergroups / Herbert Heyer -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02061 Discrete hypergroups associated with compact quantum Gelfand pairs / Tom H. Koornwinder -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02062 Transmutation operators and the inverse spectral problem / B. M. Levitan -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02063 Limit theorems for the spin process / Mohammed Mabrouki -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02064 Differential operators with matrix coefficients and transmutations / N. H. Mahmoud -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02065 Generalized product formula for orthogonal polynomials / B. P. Osilenker -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02066 An infinitesimal algebra of the hypergroup generated by double cosets and nonlinear differential equations / G. B. Podkolzin -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02067 Convolution algebras which are not necessarily positivity-preserving / Margit R�osler -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02068 Signed hypergroups -- a survey / Kenneth A. Ross -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02069 On the relation between subfactors and hypergroups / V. S. Sunder -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02070 Connection coefficients of orthogonal polynomials with applications to classical orthogonal polynomials / Ryszard Szwarc -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02071 Generalized transmutation and translation operators associated with partial differential operators / K. Trim�eche -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02072 Gelfand pairs of quantum groups, hypergroups and $q$-special functions / Leonid Vainerman -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02073 Central limit theorems for Jacobi hypergroups / Michael Voit -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02074 Finite commutative hypergroups and applications from group theory to conformal field theory / N. J. Wildberger -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02075 Kolmogorov's three series theorem on one-dimensional hypergroups / Hansmartin Zeuner -- http://www.ams.org/conm/183/ http://dx.doi.org/10.1090/conm/183/02076
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Includes bibliographical references.

Limit theorems for some hypergroup structures on $\mathbf {R}^n\times [0,\infty )$ / N. Ben Salem and M. N. Lazhari -- Nuclear spaces of test functions connected with hypercomplex systems and representations of such systems / Yu. M. Berezansky -- Hypercomplex systems and hypergroups: connections and distinctions / Yu. M. Berezansky and A. A. Kalyuzhny�i -- The Hardy-Littlewood maximal function for Ch�ebli-Trim�eche hypergroups / Walter R. Bloom and Zeng Fu Xu -- Sturm-Liouville hypergroups / H. Ch�ebli -- Continuous $2$-variable polynomial hypergroups / William C. Connett and Alan L. Schwartz -- A survey of Fourier algebras / Pierre Eymard -- Expansion in series of Laguerre functions for solution of perturbed Laguerre equations / A. Fitouhi and M. M. Hamza -- Asymptotic behaviour of the paths of random walks on some commutative hypergroups / L�eonard Gallardo -- Bounded measures algebras: a fixed point approach / Marc-Olivier Gebuhrer -- Progress in the theory of probability on hypergroups / Herbert Heyer -- Discrete hypergroups associated with compact quantum Gelfand pairs / Tom H. Koornwinder -- Transmutation operators and the inverse spectral problem / B. M. Levitan -- Limit theorems for the spin process / Mohammed Mabrouki -- Differential operators with matrix coefficients and transmutations / N. H. Mahmoud -- Generalized product formula for orthogonal polynomials / B. P. Osilenker -- An infinitesimal algebra of the hypergroup generated by double cosets and nonlinear differential equations / G. B. Podkolzin -- Convolution algebras which are not necessarily positivity-preserving / Margit R�osler -- Signed hypergroups -- a survey / Kenneth A. Ross -- On the relation between subfactors and hypergroups / V. S. Sunder -- Connection coefficients of orthogonal polynomials with applications to classical orthogonal polynomials / Ryszard Szwarc -- Generalized transmutation and translation operators associated with partial differential operators / K. Trim�eche -- Gelfand pairs of quantum groups, hypergroups and $q$-special functions / Leonid Vainerman -- Central limit theorems for Jacobi hypergroups / Michael Voit -- Finite commutative hypergroups and applications from group theory to conformal field theory / N. J. Wildberger -- Kolmogorov's three series theorem on one-dimensional hypergroups / Hansmartin Zeuner --

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http://dx.doi.org/10.1090/conm/183/02076

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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