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A Fourier transform for Banach–Colmez spaces

  • Johannes Anschütz

    Universität Bonn, Bonn, Germany

  • Arthur-César Le Bras

    Université de Strasbourg, Strasbourg, France
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Abstract

We define and study an -adic Fourier transform for a relative version of Banach–Colmez spaces (over a perfectoid space which is not necessarily a geometric point), which can be thought of as some analytic analogue of the -adic Fourier transform for unipotent perfect group schemes. We explicitly describe it on some examples.

Cite this article

Johannes Anschütz, Arthur-César Le Bras, A Fourier transform for Banach–Colmez spaces. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1480