Geodesic
Gaussian integrals and spectral theory over a~local field
Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 495-503.

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Vladimirov's methods for computing Gaussian integrals and constructing eigenfunctions of a fractional differentiation operator over the field of $p$-adic numbers is extended to the case of an arbitrary local field with a discrete valuation and characteristic of the residue field different from 2. 
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A. N. Kochubei. Gaussian integrals and spectral theory over a~local field. Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 495-503. http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a2/

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