Abstract:
Decisive conditions are established for unconditionality of expansions with respect to bases in spaces of functions of several variables. The properties of the multiple Haar and Franklin systems are studied.
Citation:
G. E. Tkebuchava, “On unconditional convergence with respect to systems of products of bases”, Russian Acad. Sci. Sb. Math., 77:1 (1994), 231–244
\Bibitem{Tke92}
\by G.~E.~Tkebuchava
\paper On unconditional convergence with respect to systems of products of bases
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 1
\pages 231--244
\mathnet{http://mi.mathnet.ru/eng/sm1082}
\crossref{https://doi.org/10.1070/SM1994v077n01ABEH003640}
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\zmath{https://zbmath.org/?q=an:0789.42024|0776.42017}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994SbMat..77..231T}
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Linking options:
https://www.mathnet.ru/eng/sm1082
https://doi.org/10.1070/SM1994v077n01ABEH003640
https://www.mathnet.ru/eng/sm/v183/i10/p109
This publication is cited in the following 2 articles:
G. E. Tkebuchava, K. Finet, “Unconditional Convergence of Fourier Expansions in Systems of Product Bases in Orlicz Spaces”, Math. Notes, 83:5 (2008), 675–683
L. V. Zhizhiashvili, G. E. Tkebuchava, “On properties of certain classical operators occurring in Fourier analysis”, Sb. Math., 195:10 (2004), 1395–1412
Citation in format AMSBIB
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