Geodesic
On spectral properties of $p$-adic pseudodifferential operators of Schr\"odinger type
Izvestiya. Mathematics , Tome 41 (1993) no. 1, pp. 55-73

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Spectral problems are considered for $p$-adic pseudodifferential operators of Schrödinger type for open-closed sets (bounded or not) in the space $Q_p^n$ with a potential tending to $+\infty$ at infinity. Some inversion theorems are proved. A method is presented and justified for constructing all eigenfunctions and eigenvalues for $M$-invariant symbols. 
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     author = {V. S. Vladimirov},
     title = {On spectral properties of $p$-adic pseudodifferential operators of {Schr\"odinger} type},
     journal = {Izvestiya. Mathematics },
     pages = {55--73},
     publisher = {mathdoc},
     volume = {41},
     number = {1},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_41_1_a2/}
}
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V. S. Vladimirov. On spectral properties of $p$-adic pseudodifferential operators of Schr\"odinger type. Izvestiya. Mathematics , Tome 41 (1993) no. 1, pp. 55-73. http://geodesic.mathdoc.fr/item/IM2_1993_41_1_a2/