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. 
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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/

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