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Probabilities and Baire’s theory in harmonic analysis

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Twentieth Century Harmonic Analysis — A Celebration

Part of the book series: NATO Science Series ((NAII,volume 33))

Abstract

This is an expository paper, with an emphasis on the history of the subject. It consists of three main parts: history, terminology, and examples (Sections 1 and 2), functions and series (Sections 3,4, and 5), thin sets (Sections 6,7, 8,9, and 10). I chose the topics and references according to my own interest, but I decided not to develop what I wrote recently elsewhere [28], so that I was very brief at the end, in particular, on topics I like best.

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Author information

Authors and Affiliations

  1. Batiment 425 (mathématique), Université Paris-Sud, 91405, Orsay Cedex, France

    J.-P. Kahane

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  1. J.-P. Kahane
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Editors and Affiliations

  1. Prometheus Inc., Newport, RI, USA

    James S. Byrnes

  2. University of Massachusetts at Boston, Boston, MA, USA

    James S. Byrnes

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Kahane, JP. (2001). Probabilities and Baire’s theory in harmonic analysis. In: Byrnes, J.S. (eds) Twentieth Century Harmonic Analysis — A Celebration. NATO Science Series, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0662-0_3

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  • DOI: https://doi.org/10.1007/978-94-010-0662-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7169-4

  • Online ISBN: 978-94-010-0662-0

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