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Generalization of G. Szegö's limit theorem to the multidimensional case

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Publication:1062226
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DOI10.1007/BF00968682zbMath0572.42003MaRDI QIDQ1062226

R. Ya. Doktorskij

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Fourier coefficients


Mathematics Subject Classification ID

Multidimensional problems (41A63) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)


Related Items (1)

Spectral asymptotics of Toeplitz operators on Zoll manifolds



Cites Work

  • Szegö's limit theorem: The higher-dimensional matrix case
  • Asymptotic inversion of convolution operators
  • Asymptotic behavior of block Toeplitz matrices and determinants. II
  • Cesaro summability of series in periodic multiplicative orthonormal systems
  • The strong Szegö limit theorem
  • A Theorem on Translation Kernels in n Dimensions
  • Notes on the asymptotic behavior of block TOEPLITZ matrices and determinants
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