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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 455, Pages 25–32 (Mi znsl6403)  
Shift systems in local fields of zero characteristic

A. M. Vodolazov, S. F. Lukomskii

Saratov State University, Saratov, Russia
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Abstract: We consider the problem of constructing $L_2$ integrable functions on a local field of zero characteristic, whose shifts form an orthonormal system.
Key words and phrases: wavelets, shifts, orthonormal systems, $p$-adic fields, local fields of characteristic zero.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00152
Received: 11.04.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 130–134
DOI: https://doi.org/10.1007/s10958-018-3988-5
Document Type: Article
UDC: 517.98+511.225
Language: Russian
Citation: A. M. Vodolazov, S. F. Lukomskii, “Shift systems in local fields of zero characteristic”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 25–32; J. Math. Sci. (N. Y.), 234:2 (2018), 130–134
Citation in format AMSBIB
\Bibitem{VodLuk17}
\by A.~M.~Vodolazov, S.~F.~Lukomskii
\paper Shift systems in local fields of zero characteristic
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 25--32
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6403}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 130--134
\crossref{https://doi.org/10.1007/s10958-018-3988-5}
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