Annals of Functional Analysis

Characterization of exponential polynomials on commutative hypergroups

László Székelyhidi

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Exponential monomials are the basic building bricks of spectral analysis and spectral synthesis on Abelian groups. Recently there have been some attempts to extend the most important spectral analysis and spectral synthesis results from groups to hypergroups. For this purpose it is necessary to introduce a reasonable concept of exponential monomials. In this work we reconsider this problem, and using a ring-theoretical approach we prove characterization theorems for particular function classes, which can be considered as "exponential monomials" on commutative hypergroups.

Article information

Ann. Funct. Anal., Volume 5, Number 2 (2014), 53-60.

First available in Project Euclid: 7 April 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20N20: Hypergroups
Secondary: 43A62: Hypergroups 39B99: None of the above, but in this section

Hypergroup spectral synthesis exponential polynomial


Székelyhidi, László. Characterization of exponential polynomials on commutative hypergroups. Ann. Funct. Anal. 5 (2014), no. 2, 53--60. doi:10.15352/afa/1396833502.

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