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Some inequalities for Franklin series

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Publication:1231115
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DOI10.1007/BF02333175zbMath0338.42013MaRDI QIDQ1231115

S. V. Bochkarev

Publication date: 1975

Published in: Analysis Mathematica (Search for Journal in Brave)



Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)


Related Items (7)

Uniqueness theorem for multiple Franklin series ⋮ The Gibbs phenomenon for general Franklin systems ⋮ On a property of the Franklin system in \(C[0, 1\) and \(L^1[0, 1]\)] ⋮ On a generalization of general Franklin system on \(R\) ⋮ On series by general Franklin system ⋮ On unconditional basis property in the space \(H^1(\mathbb R)\) of a system of Franklin functions with vanishing means ⋮ On local equivalence of the majorant of partial sums and Paley function of Franklin series



Cites Work

  • Unnamed Item
  • On a theorem of Marcinkiewicz concerning interpolation of operations
  • The Brauer-Manin Obstruction and III[2]
  • Properties of the orthonormal Franklin system, II
  • Properties of the orthonormal Franklin system




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