Generalized hypergroups and orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Generalized Hypergroups and Orthogonal Polynomials
We study in this paper a generalization of the notion of a discrete hypergroup with particular emphasis on the relation with systems of orthogonal polynomials. The concept of a locally compact hypergroup was introduced by Dunkl [8], Jewett [12] and Spector [25]. It generalizes convolution algebras of measures associated to groups as well as linearization formulae of classical families of orthog...
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The concept of semi-bounded generalized hypergroups (SBG hypergroups) is developed which are more special then generalized hypergroups introduced by Obata and Wildberger and which are more general then discrete hypergroups or even discrete signed hypergroups. The convolution of measures and functions is studied. In case of commutativity we define the dual objects and prove some basic theorems o...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1996
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s002776300000564x