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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 170, Pages 118–128 (Mi into527)

This article is cited in 2 papers

Finite Parseval frames in Walsh analysis

Yu. A. Farkov

The Russian Presidental Academy of National Economics and Public Administration, Moscow

Abstract: Methods for constructing finite Parseval frames by using Walsh matrices and the discrete Vilenkin–Chrestenson transform are described.

Keywords: Walsh function, frame, orthogonal wavelet, discrete transformation, Kadison–Singer problem.

UDC: 517.518, 519.614

MSC: 42C15, 42C40

DOI: 10.36535/0233-6723-2019-170-118-128


 English version:
Journal of Mathematical Sciences (New York), 2022, 263:4, 579–589

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© Steklov Math. Inst. of RAS, 2025