Quantizations and symbolic calculus over the p-adic numbers
Annales de l'Institut Fourier, Volume 43 (1993) no. 4, p. 997-1053

We develop the basic theory of the Weyl symbolic calculus of pseudodifferential operators over the p-adic numbers. We apply this theory to the study of elliptic operators over the p-adic numbers and determine their asymptotic spectral behavior.

Nous développons la théorie du calcul symbolique des opérateurs pseudo-différentiels de Weyl sur les nombres p-adiques. Nous appliquons cette théorie à l’étude des opérateurs globalement elliptiques sur les nombres p-adiques et nous déterminons de façon exacte le comportement asymptotique de leur spectre.

@article{AIF_1993__43_4_997_0,
     author = {Haran, Shai},
     title = {Quantizations and symbolic calculus over the $p$-adic numbers},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {43},
     number = {4},
     year = {1993},
     pages = {997-1053},
     doi = {10.5802/aif.1363},
     zbl = {0974.22009},
     mrnumber = {95m:22004},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1993__43_4_997_0}
}
Haran, Shai. Quantizations and symbolic calculus over the $p$-adic numbers. Annales de l'Institut Fourier, Volume 43 (1993) no. 4, pp. 997-1053. doi : 10.5802/aif.1363. http://www.numdam.org/item/AIF_1993__43_4_997_0/

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