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- W2952464900 abstract "For a non Archimedean local field which is not of characteristic $2$, nor an extension of $mathbb Q_2$, we construct a pseudo-differential calculus covariant under a unimodular subgroup of the affine group of the field. Our phase space is a quotient group of the covariance group. Our main result is a generalisation on that context of the Calderon-Vaillancourt estimate. Our construction can be thought as the non Archimedean version of Unterberger's Fuchs calculus and our methods are mainly based on Wigner functions and on coherent states transform." @default.
- W2952464900 created "2019-06-27" @default.
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- W2952464900 date "2017-02-06" @default.
- W2952464900 modified "2023-09-27" @default.
- W2952464900 title "Quantization of the affine group of a local field" @default.
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