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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 170, Pages 118–128
DOI: https://doi.org/10.36535/0233-6723-2019-170-118-128 (Mi into527) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finite Parseval frames in Walsh analysis

Yu. A. Farkov

The Russian Presidental Academy of National Economics and Public Administration, Moscow
Full-text PDF (204 kB) Citations (2)
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DOI: https://doi.org/10.36535/0233-6723-2019-170-118-128
Abstract: Methods for constructing finite Parseval frames by using Walsh matrices and the discrete Vilenkin–Chrestenson transform are described.
Keywords: Walsh function, frame, orthogonal wavelet, discrete transformation, Kadison–Singer problem.
English version:
Journal of Mathematical Sciences (New York), 2022, Volume 263, Issue 4, Pages 579–589
DOI: https://doi.org/10.1007/s10958-022-05949-y
Bibliographic databases:
Document Type: Article
UDC: 517.518, 519.614
MSC: 42C15, 42C40
Language: Russian
Citation: Yu. A. Farkov, “Finite Parseval frames in Walsh analysis”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170, VINITI, Moscow, 2019, 118–128; J. Math. Sci. (N. Y.), 263:4 (2022), 579–589
Citation in format AMSBIB
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\by Yu.~A.~Farkov
\paper Finite Parseval frames in Walsh analysis
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part~1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 170
\pages 118--128
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into527}
\crossref{https://doi.org/10.36535/0233-6723-2019-170-118-128}
\zmath{https://zbmath.org/?q=an:07566749}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2022
\vol 263
\issue 4
\pages 579--589
\crossref{https://doi.org/10.1007/s10958-022-05949-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132155263}
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  • https://www.mathnet.ru/eng/into/v170/p118
    • This publication is cited in the following 2 articles:
    1. Bin Li, Shengnan Zhang, Jie Chen, “Generalized Walsh Transform Sequency-Domain-Based Match Filtering for Electromagnetic Flowmeter Signal Measurement”, IEEE Sensors J., 24:7 (2024), 10203  crossref
    2. Yu. A. Farkov, “Freimy v analize Uolsha, matritsy Adamara i ravnomerno raspredelennye mnozhestva”, Materialy 20 Mezhdunarodnoi Saratovskoi zimnei shkoly «Sovremennye problemy teorii funktsii i ikh prilozheniya», Saratov, 28 yanvarya — 1 fevralya 2020 g.  Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 199, VINITI RAN, M., 2021, 17–30  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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