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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Affine system of Walsh type. Completeness and minimality
Kh. H. H. Al-Jouranya, V. A. Mironovb, P. A. Terekhinb a University of Diyala, Baquba, Diyala Province, Iraq
b Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
Abstract:
The question on completeness and minimality of Walsh affine systems is considered. On the basis of functional-analytical structure of multishift in Hilbert space, which being the generalized analogue of the operator of simple one-side shift and closely connected with Cuntz algebra representations, we give definition of Walsh affine system. Various criteria and tests of completeness of affine systems of functions are established. A biorthogonal conjugate system is found and its completeness is proved.
Key words:
Walsh functions, affine system, completeness, minimality, shift operator, multishift structure.
Citation:
Kh. H. H. Al-Jourany, V. A. Mironov, P. A. Terekhin, “Affine system of Walsh type. Completeness and minimality”, Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016), 247–256
Linking options:
https://www.mathnet.ru/eng/isu642 https://www.mathnet.ru/eng/isu/v16/i3/p247
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Abstract page: | 356 | Full-text PDF : | 118 | References: | 38 |
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