Geodesic
Asymptotic form of the spectrum of operators associated with $p$-adic fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 3-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a locally compact nonconnected nondiscrete field and study a linear operator given by the sum of the operator of multiplication by a function and the operator of convolution with a generalized function. We derive the asymptotic form of the spectrum of that linear operator. In this problem, we use the generalized $p$-adic Feynman–Kac formula.
Keywords: asymptotic form, spectrum, operator trace, $p$-adic field.
Mots-clés : Feynman–Kac formula 
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R. S. Ismagilov. Asymptotic form of the spectrum of operators associated with $p$-adic fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a0/

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