Geodesic
Shift systems in local fields of zero characteristic
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 31, Tome 455 (2017), pp. 25-32

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We consider the problem of constructing $L_2$ integrable functions on a local field of zero characteristic, whose shifts form an orthonormal system. 
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     author = {A. M. Vodolazov and S. F. Lukomskii},
     title = {Shift systems in local fields of zero characteristic},
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     publisher = {mathdoc},
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A. M. Vodolazov; S. F. Lukomskii. Shift systems in local fields of zero characteristic. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 31, Tome 455 (2017), pp. 25-32. http://geodesic.mathdoc.fr/item/ZNSL_2017_455_a2/