# A Fourier Transform for Banach-Colmez spaces

Abstract : We define and study an $\ell$-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 $\ell$-adic Fourier transform for unipotent perfect group schemes. We explicitly describe it on some examples.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-03444442
Contributor : Arthur-César Le Bras Connect in order to contact the contributor
Submitted on : Friday, November 26, 2021 - 11:50:05 AM
Last modification on : Wednesday, December 1, 2021 - 1:33:22 PM

### File

2111.11116.pdf
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### Identifiers

• HAL Id : hal-03444442, version 1
• ARXIV : 2111.11116

### Citation

Johannes Anschütz, Arthur-César Le Bras. A Fourier Transform for Banach-Colmez spaces. 2021. ⟨hal-03444442⟩

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