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A uniqueness theorem for series by Stromberg's system

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Publication:1946292
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DOI10.3103/S1068362312060039zbMath1267.42032MaRDI QIDQ1946292

K. A. Keryan, A. S. Martirosyan

Publication date: 19 April 2013

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)


zbMATH Keywords

uniqueness theoremPaley functionsets of partial sumsStromberg's wavelet


Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)




Cites Work

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  • Theorems on modified Franklin system constructed by Stromberg. II
  • Majorant and Paley function for series in general Franklin systems
  • Unconditionality of general Franklin systems in Lp[0,1, 1<p<∞]
  • Properties of the orthonormal Franklin system, II
  • Unconditional basis property of generalized Franklin systems
  • Uniqueness of series by generalized Franklin systems


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