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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.98+511.225

Received: 11.04.2017


 English version:
Journal of Mathematical Sciences (New York), 2018, 234:2, 130–134


© Steklov Math. Inst. of RAS, 2024