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Slowly oscillating functions in semigroup compactifications and convolution algebras

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Title: Slowly oscillating functions in semigroup compactifications and convolution algebras
Authors: Filali, Mahmoud1 mahmoud.filali@oulu.fi, Salmi, Pekka pekka.salmi@oulu.fi
Source: Journal of Functional Analysis. Sep2007, Vol. 250 Issue 1, p144-166. 23p.
Subjects: Harmonic analysis (Mathematics), Mathematical convolutions, Semigroups (Algebra), Topological semigroups
Abstract: Abstract: The paper proposes a unified approach to many key theorems proved in the last twenty years in different areas of abstract harmonic analysis. This approach is based on the so-called slowly oscillating functions which were introduced in coarse geometry. In addition to this method being the most natural and simple, it also leads to the generalisation of some of the results and to the achievement of some new results. Several of these results concern the topological centres of convolution algebras and semigroup compactifications. [Copyright &y& Elsevier]
Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 25952782
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Slowly oscillating functions in semigroup compactifications and convolution algebras
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  Data: <searchLink fieldCode="AR" term="%22Filali%2C+Mahmoud%22">Filali, Mahmoud</searchLink><relatesTo>1</relatesTo><i> mahmoud.filali@oulu.fi</i><br /><searchLink fieldCode="AR" term="%22Salmi%2C+Pekka%22">Salmi, Pekka</searchLink><i> pekka.salmi@oulu.fi</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Functional+Analysis%22">Journal of Functional Analysis</searchLink>. Sep2007, Vol. 250 Issue 1, p144-166. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Harmonic+analysis+%28Mathematics%29%22">Harmonic analysis (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+convolutions%22">Mathematical convolutions</searchLink><br /><searchLink fieldCode="DE" term="%22Semigroups+%28Algebra%29%22">Semigroups (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+semigroups%22">Topological semigroups</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Abstract: The paper proposes a unified approach to many key theorems proved in the last twenty years in different areas of abstract harmonic analysis. This approach is based on the so-called slowly oscillating functions which were introduced in coarse geometry. In addition to this method being the most natural and simple, it also leads to the generalisation of some of the results and to the achievement of some new results. Several of these results concern the topological centres of convolution algebras and semigroup compactifications. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Functional Analysis is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.jfa.2007.05.004
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      – Code: eng
        Text: English
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        PageCount: 23
        StartPage: 144
    Subjects:
      – SubjectFull: Harmonic analysis (Mathematics)
        Type: general
      – SubjectFull: Mathematical convolutions
        Type: general
      – SubjectFull: Semigroups (Algebra)
        Type: general
      – SubjectFull: Topological semigroups
        Type: general
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      – TitleFull: Slowly oscillating functions in semigroup compactifications and convolution algebras
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            NameFull: Filali, Mahmoud
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            NameFull: Salmi, Pekka
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            – D: 01
              M: 09
              Text: Sep2007
              Type: published
              Y: 2007
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              Value: 250
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            – TitleFull: Journal of Functional Analysis
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