Asymptotic form of the spectrum of operators associated with p-adic fields |
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Authors: | R S Ismagilov |
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Institution: | 1. Bauman Moscow State University for Technology, Moscow, Russia
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Abstract: | 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. |
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