Quantizations and symbolic calculus over the p-adic numbers
Haran, Shai
Annales de l'Institut Fourier, Tome 43 (1993), p. 997-1053 / Harvested from Numdam
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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.

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.

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     author = {Haran, Shai},
     title = {Quantizations and symbolic calculus over the $p$-adic numbers},
     journal = {Annales de l'Institut Fourier},
     volume = {43},
     year = {1993},
     pages = {997-1053},
     doi = {10.5802/aif.1363},
     mrnumber = {95m:22004},
     zbl = {0974.22009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1993__43_4_997_0}
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Haran, Shai. Quantizations and symbolic calculus over the $p$-adic numbers. Annales de l'Institut Fourier, Tome 43 (1993) pp. 997-1053. doi : 10.5802/aif.1363. http://gdmltest.u-ga.fr/item/AIF_1993__43_4_997_0/

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