For citation:
Terekhin P. A. Affine Systems of Walsh Type. Orthogonalization and Completion. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 4, pp. 395-400. DOI: 10.18500/1816-9791-2014-14-4-395-400, EDN: TAAMIF
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
01.12.2014
Full text:
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Language:
Russian
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UDC:
517.51+517.98
EDN:
TAAMIF
Affine Systems of Walsh Type. Orthogonalization and Completion
Autors:
Terekhin Pavel A., Saratov State University
Abstract:
The new notion of affine system of Walsh type is introduced and studied. We proved results about orthogonalization and completion of affine systems of Walsh type with preservation of structure of affine systems.
References:
- Терехин П. А. Мультисдвиг в гильбертовом пространстве // Функц. анализ и его прил. 2005. Т. 39, вып. 1. C. 69–81. DOI: 10.4213/faa32.
- Schur I. Über endliche Gruppen und Hermitischë Formen // Math. Z. 1918. Vol. 1, iss. 2–3. P. 183–207. DOI: 10.1007/BF01203611.
- Новиков С. Я. Бесселевы последовательности как проекции ортогональных систем // Матем. заметки. 2007. Т. 81, вып. 6. С. 893–903. DOI: 10.4213/mzm3739.
- Czaja W. Remark on Naimark’s duality // Proc. Amer. Math. Soc. 2008. Vol. 136, iss. 3. P. 867–871. DOI: 10.1090/S0002-9939-07-09048-X.
- Терехин П. А. О бесселевых системах в банаховом пространстве // Матем. заметки. 2012. Т. 91, вып. 2. С. 285–296. DOI: 10.4213/mzm7697.
Received:
24.06.2014
Accepted:
11.11.2014
Published:
01.12.2014
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