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Notes on Fourier series in homogeneous Banach spaces

Заметки о рядах Фурье в однородных банахов ых пространствах

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Abstract

В первой части работы устанавливается при нцип двойственности для с ходимости операторо в свертки в некоторых ф ункциональных прост ранствах. Вторая часть содержи т несколько характеристик после довательностей коэф фициентов Фурье функций из этих пространств.

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References

  1. Y. Katznelson,An introduction to harmonic analysis, John Wiley (New York, 1968).

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  2. M. A. Krasnosel'skii andYa. B. Rutickii,Convex functions and Orlicz spaces, Noordhoff (Groningen, 1962).

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  3. V. Totik, Comparison of “uniform” and “almost everywhere” summability properties,Acta Acad. Sci. Math. Hungar.,39 (1982), 129–133.

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  4. A.Zygmund,Trigonometric series. I (Cambridge, 1959).

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Authors and Affiliations

  1. Bolyai Institute, Aradi Vértanúk Tere 1, 6720, Szeged, Hungary

    V. Totik

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  1. V. Totik
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Dedicated to Professor S. A. Teljakovskii on his 50th birthday

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Totik, V. Notes on Fourier series in homogeneous Banach spaces. Analysis Mathematica 8, 321–333 (1982). https://doi.org/10.1007/BF02201780

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  • DOI: https://doi.org/10.1007/BF02201780

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