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Uniqueness of series with respect to general Franklin systems

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Publication:1049374
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DOI10.3103/S106836230905001XzbMath1178.42024MaRDI QIDQ1049374

Gegham Gevorkyan, Anna Kamont

Publication date: 12 January 2010

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


zbMATH Keywords

Franklin systemwavelet systemsorthonormal spline systems


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)


Related Items

Uniqueness theorems for series in the Franklin system, Uniqueness theorem for multiple Franklin series, On the uniqueness of series in the Franklin system



Cites Work

  • Ondelettes sur l'intervalle. (Wavelets on the interval)
  • Projections onto piecewise linear functions
  • Orthonormal bases of compactly supported wavelets
  • Estimates for spline orthonormal functions and for their derivatives
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