Geodesic
Fundamental solutions of pseudodifferential equations connected with $p$-adic quadratic forms
Izvestiya. Mathematics , Tome 62 (1998) no. 6, pp. 1169-1188

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We construct and study fundamental solutions corresponding to certain classes of pseudodifferential operators with symbols of the form $|h(\xi )|_p^\alpha$, $\alpha>0$, where $h(\xi)$, $\xi=(\xi_1,\dots,\xi_n)$, is a non-degenerate $p$-adic quadratic form. 
@article{IM2_1998_62_6_a4,
     author = {A. N. Kochubei},
     title = {Fundamental solutions of pseudodifferential equations connected with $p$-adic quadratic forms},
     journal = {Izvestiya. Mathematics },
     pages = {1169--1188},
     publisher = {mathdoc},
     volume = {62},
     number = {6},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_6_a4/}
}
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A. N. Kochubei. Fundamental solutions of pseudodifferential equations connected with $p$-adic quadratic forms. Izvestiya. Mathematics , Tome 62 (1998) no. 6, pp. 1169-1188. http://geodesic.mathdoc.fr/item/IM2_1998_62_6_a4/