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Exponential polynomials on commutative hypergroups
Authors:László Székelyhidi
Institution: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
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 24,6]. 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.
Keywords:
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