On the Orthogonality of a System of Shifts of the Scaling Function on Vilenkin Groups
Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 310-313.

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Mots-clés : orthogonal MRA
Keywords: Vilenkin group, scaling function, exhaustive search problem, $N$-valid tree, step-function.
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S. F. Lukomskii; G. S. Berdnikov; Yu. S. Kruss. On the Orthogonality of a System of Shifts of the Scaling Function on Vilenkin Groups. Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 310-313. http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a16/

[1] V. Protasov, Yu. Farkov, Matem. sb., 197:10 (2006), 129–160 | DOI | MR | Zbl

[2] Yu. Farkov, UMN, 62:6 (2007), 189–190 | DOI | MR | Zbl

[3] V. Protasov, Matem. sb., 198:11 (2007), 135–152 | DOI | MR | Zbl

[4] Yu. Farkov, Izv. RAN. Ser. matem., 69:3 (2005), 193–220 | DOI | MR | Zbl

[5] Yu. Farkov, Matem. zametki, 82:6 (2007), 934–952 | DOI | MR | Zbl

[6] S. Lukomskii, Trees in Wavelet Analysis on Vilenkin Groups, arXiv: 1303.5635

[7] C. Lukomskii, Dokl. RAN, 457:1 (2014), 24–27 | DOI | Zbl

[8] S. Lukomskii, G. Berdnikov, N-Valid Trees in Wavelet Theory on Vilenkin Groups, arXiv: 1412.3096

[9] S. Lukomskii, J. Fourier Anal. Appl., 20:1 (2014), 42–65 | DOI | MR | Zbl