On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group

Kalyuzhnyi, A. A.; Podkolzin, G. B.; Chapovsky, Yu. A.

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On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group

A. A. Kalyuzhnyi, G. B. Podkolzin, Yu. A. Chapovsky

+Author Affiliations

arXiv:1709.01196 Article (.pdf)

Abstract

We prove that the Fourier space of a hypergroup constructed from a conditional expectation on a locally compact group has a Banach algebra structure.

Key words: Hypergroup, Fourier algebra, conditional expextation, comultiplication.

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Title	On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group
Source	Methods Funct. Anal. Topology, Vol. 23 (2017), no. 1, 37-50
MathSciNet	MR3632387
zbMATH	06810666
Milestones	Received 13/11/2016; Revised 28/12/2016
Copyright	The Author(s) 2017 (CC BY-SA)

Authors Information

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

G. B. Podkolzin
National Technical University of Ukraine ”Kyiv Polytechnic Institute”, 37 Prospect Peremogy, Kyiv, 03056, Ukraine

Yu. A. Chapovsky
National Technical University of Ukraine ”Kyiv Polytechnic Institute”, 37 Prospect Peremogy, Kyiv, 03056, Ukraine

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A. A. Kalyuzhnyi, G. B. Podkolzin, and Yu. A. Chapovsky, On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group, Methods Funct. Anal. Topology 23 (2017), no. 1, 37-50.

BibTex

@article {MFAT946,
    AUTHOR = {Kalyuzhnyi, A. A. and Podkolzin, G. B. and Chapovsky, Yu. A.},
     TITLE = {On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {37-50},
      ISSN = {1029-3531},
  MRNUMBER = {MR3632387},
 ZBLNUMBER = {06810666},
       URL = {http://mfat.imath.kiev.ua/article/?id=946},
}

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On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group

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