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Recent developments on approximation theory on CTD groups (Q2717148)

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scientific article; zbMATH DE number 1604726
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English
Recent developments on approximation theory on CTD groups
scientific article; zbMATH DE number 1604726

    Statements

    17 June 2001
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    approximation theory
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    non-abelian totally disconnected groups
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    Fejér means of Fourier series
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    Fourier coefficients
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    modulus of continuity
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    Recent developments on approximation theory on CTD groups (English)
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    A survey of recent developments in approximation theory on non-abelian totally disconnected groups is given in this paper. There are some important results in the note: study of the convergence in the \(L^p\)-norm of the partial sums and the Fejér means of Fourier series; estimation of the Fourier coefficients of integrable functions; moreover, the concept of modulus of continuity is introduced.NEWLINENEWLINEFor the entire collection see [Zbl 0944.00034].
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