Annals of Functional Analysis

Characterization of exponential polynomials on commutative hypergroups

László Székelyhidi

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Abstract

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

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

Dates
First available in Project Euclid: 7 April 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1396833502

Digital Object Identifier
doi:10.15352/afa/1396833502

Mathematical Reviews number (MathSciNet)
MR3192009

Zentralblatt MATH identifier
1296.43002

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

Keywords
Hypergroup spectral synthesis exponential polynomial

Citation

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


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