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On $p$-adic Green's functions

A. N. Kochubei

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: Some classes of pseudo-differential operators over the field of $p$-adic numbers and local fields with discrete valuation are studied. Sufficient conditions for non-negativity of a Green function are found.

Received: 12.10.1992

 English version: Theoretical and Mathematical Physics, 1993, 96:1, 854–865

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