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On infinitesimal structure of a hypergroup that originates from a Lie group


Abstract

We describe an infinitesimal algebra to a hypergroup constructed from a Lie group and a conditional expectation. We also prove a theorem on a decomposition of the conditional expectation into the product of a counital conditional expectation and the one that arises in the double coset construction.


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Article Information

TitleOn infinitesimal structure of a hypergroup that originates from a Lie group
SourceMethods Funct. Anal. Topology, Vol. 17 (2011), no. 4, 319-329
MathSciNet MR2907360
CopyrightThe Author(s) 2011 (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
Ukrainian National Technical University (`KPI'), 37, prospect Peremogy, Kyiv, 03056, Ukraine

Yu. A. Chapovsky
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 


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Citation Example

A. A. Kalyuzhnyi, G. B. Podkolzin, and Yu. A. Chapovsky, On infinitesimal structure of a hypergroup that originates from a Lie group, Methods Funct. Anal. Topology 17 (2011), no. 4, 319-329.


BibTex

@article {MFAT609,
    AUTHOR = {Kalyuzhnyi, A. A. and Podkolzin, G. B. and Chapovsky, Yu. A.},
     TITLE = {On infinitesimal structure of   a hypergroup that originates from a Lie group},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {17},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {319-329},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=609},
}


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