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On multiple Fourier series of piecewise smooth functions

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Publication:960727
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DOI10.1134/S1064562407030015zbMATH Open1175.42003MaRDI QIDQ960727

Ravshan Ashurov

Publication date: 19 January 2009

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





Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)


Cites Work

  • On the eigenfunction expansion of a piecewise smooth function.
  • Sets of uniform convergence of Fourier expansions of piecewise smooth functions
  • Localization and convergence of eigenfunction expansions
  • Pointwise Fourier inversion on tori and other compact manifolds
  • Über Integrale auf konvexen Körpern. I, II
  • Eigenfunction expansions and the Pinsky phenomenon on compact manifolds


Related Items (7)

Smoothness conditions and Fourier series ⋮ Fourier Inversion for Piecewise Smooth Functions in Several Variables ⋮ On spectral expansions of piecewise smooth functions depending on the geodesic distance ⋮ On the Pinsky phenomenon for B-elliptic operators ⋮ Unnamed Item ⋮ On Lebesgue functions for multiple Fourier series of polynomials ⋮ Multiple Fourier series for functions from a Zygmund class






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