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

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ON FOURIER ALGEBRA OF A HYPERGROUP CONSTRUCTED FROM A CONDITIONAL EXPECTATION ON A LOCALLY COMPACT GROUP

机译：在从局部紧凑型群体上的条件期望构建的超高组的傅里叶代数

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摘要

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

机译：我们证明，从局部紧凑型组的条件期望构建的超级群体的傅立叶空间具有Banach代数结构。

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来源
《Methods of Functional Analysis and Topology 》 |2017年第1期| 共14页
作者
A. A. KALYUZHNYI; G. B. PODKOLZIN; YU. A. CHAPOVSKY;
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作者单位

Institute of Mathematics National Academy of Sciences of Ukraine 3 Tereshchenkivs'ka Kyiv 01601 Ukraine;

National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy Kyiv 03056 Ukraine;

National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy Kyiv 03056 Ukraine;

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原文格式 PDF
正文语种 ukr
中图分类几何、拓扑 ;
关键词
Hypergroup; Fourier algebra; conditional expextation; comultiplication.;

机译：超群;傅里叶代数;条件阐明;复合。;

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1. ON FOURIER ALGEBRA OF A HYPERGROUP CONSTRUCTED FROM A CONDITIONAL EXPECTATION ON A LOCALLY COMPACT GROUP [J] . A. A. KALYUZHNYI, G. B. PODKOLZIN, YU. A. CHAPOVSKY Methods of Functional Analysis and Topology . 2017 ,第1期

机译：在从局部紧凑型群体上的条件期望构建的超高组的傅里叶代数
2. Fourier algebras on locally compact hypergroups [J] . M. Lashkarizadeh Bami, M. Pourgholamhossein, H. Samea Mathematische Nachrichten . 2009 ,第1期

机译：局部紧实超群上的傅立叶代数
3. A FACTORIZATION OF CONDITIONAL EXPECTATIONS ON KAC ALGEBRAS AND QUANTUM DOUBLE COSET HYPERGROUPS [J] . A. A. Kalyuzhnyi, Yu. A. Chapovsky Украинский математический журнал . 2003 ,第12期

机译：KAC代数和量子双Coset超群的条件期望的因式分解
4. Efficient Conditional Expectation Algorithms for Constructing Hash Families [C] . Charles J. Colbourn Combinatorial algorithms. . 2011

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ON FOURIER ALGEBRA OF A HYPERGROUP CONSTRUCTED FROM A CONDITIONAL EXPECTATION ON A LOCALLY COMPACT GROUP

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