M. A. Skopina, Yu. A. Farkov, “Walsh-Type Functions on <nobr>$M$</nobr>-Positive Sets in <nobr>$\mathbb R^d$</nobr>”, Mat. Zametki, 2022, Volume 111, Issue 4,Pages <nobr>631–635</nobr>

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Mat. Zametki, 2022 Volume 111, Issue 4, Pages 631–635 (Mi mzm13453)

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Brief Communications

Walsh-Type Functions on $M$-Positive Sets in $\mathbb R^d$

M. A. Skopina^ab, Yu. A. Farkov^c

^a Saint Petersburg State University
^b Regional mathematical center of Southern Federal University, Rostov-on-Don
^c The Russian Presidental Academy of National Economics and Public Administration, Moscow

Keywords: Walsh functions, Vilenkin groups, dilation matrices, $M$-positive sets, orthogonal systems.

Received: 30.10.2021

DOI: 10.4213/mzm13453

English version: Mathematical Notes, 2022, 111:4, 643–647

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© Steklov Math. Inst. of RAS, 2026