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On Fourier algebra of a locally compact hypergroup


Abstract

We give sufficient conditions for the Fourier and the Fourier-Stieltjes spaces of a locally compact hypergroup to be Banach algebras.

Key words: Fourier algebra, Fourier-Stieltjes algebra, DJS-hypergroup, locally compact hypergroup, dual algebras, Pontryagin duality.


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Article Information

TitleOn Fourier algebra of a locally compact hypergroup
SourceMethods Funct. Anal. Topology, Vol. 21 (2015), no. 3, 246-255
MathSciNet MR3521695
zbMATH 06630271
MilestonesReceived 26/05/2015
CopyrightThe Author(s) 2015 (CC BY-SA)

Authors Information

A. A. Kalyuzhnyi
Institute of Mathematics, National Academy of Sciences of Ukraine, vul. Tereshchinkivs’ka, 3, Kyiv, 01601, Ukraine

G. B. Podkolzin
Ukrainian National Technical University (“KPI”), pr. Pobedy, 57, Kyiv, Ukraine

Yu. A. Chapovsky
Institute of Mathematics, National Academy of Sciences of Ukraine, vul. Tereshchinkivs’ka, 3, Kyiv, 01601, Ukraine


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Citation Example

A. A. Kalyuzhnyi, G. B. Podkolzin, and Yu. A. Chapovsky, On Fourier algebra of a locally compact hypergroup, Methods Funct. Anal. Topology 21 (2015), no. 3, 246-255.


BibTex

@article {MFAT835,
    AUTHOR = {A. A. Kalyuzhnyi and G. B. Podkolzin and Yu. A. Chapovsky},
     TITLE = {On Fourier algebra of a locally compact hypergroup},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {21},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {246-255},
      ISSN = {1029-3531},
  MRNUMBER = {MR3521695},
 ZBLNUMBER = {06630271},
       URL = {http://mfat.imath.kiev.ua/article/?id=835},
}


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