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On approximation properties of one trigonometric system

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Publication:2262937
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DOI10.3103/S1066369X14110024zbMath1311.42004MaRDI QIDQ2262937

Volodymyr Dilnyi, B. V. Vynnyts'kyj

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)


zbMATH Keywords

Paley-Wiener theoremapproximation propertiestrigonometric systemscomplete systemminimal system


Mathematics Subject Classification ID

Trigonometric approximation (42A10)


Related Items (3)

Integral representation of one class of entire functions ⋮ Completeness of the system of generalized eigenfunctions for a Bessel-type differential operator ⋮ Generalized eigenvectors of linear operators and biorthogonal systems




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Generalization of the Paley-Wiener theorem in weighted spaces
  • Boundedness of solutions of a second-order linear differential equation and a boundary value problem for the Bessel equation
  • Nevanlinna theory and complex differential equations
  • Paley-Wiener-type theorems for a class of integral transforms
  • Some approximation properties of the systems of Bessel functions of index \(-3/2\)
  • Analytic Fourier Transforms and Exponential Approximations. II




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