Open Access

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

### 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.

### Article Information

 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 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

### Citation Example

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},
URL = {http://mfat.imath.kiev.ua/article/?id=946},
}

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