Spectral synthesis on multivariate polynomial hypergroups |
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Authors: | László Székelyhidi |
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Affiliation: | (1) University of Debrecen, Debrecen, Hungary |
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Abstract: | In a recent paper [16] we presented some results concerning spectral analysis and spectral synthesis on polynomial hypergroups in a single variable. Now we show that using Hilbert’s Nullstellensatz, the Noether-Lasker-theorem and the Ehrenpreis-Palamodov-theorem the ideas of [16] can be extended to prove spectral analysis and spectral synthesis on any multivariate polynomial hypergroup. Author’s address: Institute of Mathematics, University of Debrecen, Egyetem tér 1, 4032 Debrecen, Hungary |
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Keywords: | 2000 Mathematics Subject Classification: 20N20 43A45 |
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