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On the Banach algebra \(M(p,q)\quad(1\leq p<q\leq\infty)\) - MaRDI portal

On the Banach algebra \(M(p,q)\quad(1\leq p<q\leq\infty)\) (Q1365404)

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scientific article; zbMATH DE number 1054601
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On the Banach algebra \(M(p,q)\quad(1\leq p<q\leq\infty)\)
scientific article; zbMATH DE number 1054601

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    On the Banach algebra \(M(p,q)\quad(1\leq p<q\leq\infty)\) (English)
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    28 August 1997
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    Let \(M(p,q)\) be the set of all translation invariant bounded linear operators from \(L^p(G)\) to \(L^q(G)\). The authors investigate the Fourier multiplier algebra \(M(p,q)\). The operating function whose domain is the complex plane is studied. A remark is made about generalized Riesz products.
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    linear operators
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    Fourier multiplier algebra
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    generalized Riesz products
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