This article is cited in 12 papers

Brief Communications

On the Orthogonality of a System of Shifts of the Scaling Function on Vilenkin Groups

S. F. Lukomskii, G. S. Berdnikov, Yu. S. Kruss

Saratov State University named after N. G. Chernyshevsky

Keywords: orthogonal MRA, Vilenkin group, scaling function, exhaustive search problem, $N$-valid tree, step-function.

Received: 17.01.2015

DOI: 10.4213/mzm10664

 English version: Mathematical Notes, 2015, 98:2, 339–342

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