Exponential polynomials on commutative hypergroups |
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Authors: | László Székelyhidi |
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Affiliation: | 1. Institute of Mathematics, University of Debrecen, Egyetem tér 1., P.O. Box 12, Debrecen, 4010, Hungary 2. Department of Mathematics, University of Botswana, Gaborone, Botswana
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Abstract: | Polynomials and exponential polynomials play a fundamental role in the theory of spectral analysis and spectral synthesis on commutative groups. Recently several new results have been published in this field [2–4,6]. Spectral analysis and spectral synthesis has been studied on some types of commutative hypergroups, as well. However, a satisfactory definition of exponential monomials on general commutative hypergroups has not been available so far. In [5,7,8] and [9], the authors use a special concept on polynomial and Sturm–Liouville-hypergroups. Here we give a general definition which covers the known special cases. |
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