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Remark on the spectral synthesis on infinite joins of finite hypergroups

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Abstract

Spectral theory has become a central area of studies on commutative hypergroups. Spectral analysis and synthesis have been proved for different classes of hypergroups. In their paper (Fechner and Székelyhidi in Ann Univ Sci Budapest Sect Comput), the authors introduced and studied an infinite join of general finite hypergroups. Here we prove that under some general conditions spectral analysis and synthesis hold on that hypergroup.

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  1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200030, China

    Kedumetse Vati

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  1. Kedumetse Vati
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Correspondence to Kedumetse Vati.

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Vati, K. Remark on the spectral synthesis on infinite joins of finite hypergroups. Period Math Hung 84, 299–302 (2022). https://doi.org/10.1007/s10998-021-00406-w

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  • DOI: https://doi.org/10.1007/s10998-021-00406-w

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