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A Short Proof of Stein’s Universal Multiplier Theorem

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Séminaire de Probabilités XLVI

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 2123))

Abstract

We give a short proof of Stein’s universal multiplier theorem, purely by probabilistic methods, thus avoiding any use of harmonic analysis techniques (complex interpolation or transference methods).

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Acknowledgements

The author is member of the GNAMPA group of the Istituto Nazionale di Alta Matematica (INdAM). He also thanks G.M. Dall’Ara for many discussions on the subject.

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Correspondence to Dario Trevisan .

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Trevisan, D. (2014). A Short Proof of Stein’s Universal Multiplier Theorem. In: Donati-Martin, C., Lejay, A., Rouault, A. (eds) Séminaire de Probabilités XLVI. Lecture Notes in Mathematics(), vol 2123. Springer, Cham. https://doi.org/10.1007/978-3-319-11970-0_20

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