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Multiple Fourier integral and multiple Fourier series under square summation

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Publication:920331
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DOI10.1007/BF00971147zbMath0708.42009MaRDI QIDQ920331

Igor L. Bloshanskii

Publication date: 1990

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


zbMATH Keywords

convergence of multiple Fourier seriesmultiple Fourier integral


Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Summability and absolute summability of Fourier and trigonometric series (42A24)


Related Items (2)

Equiconvergence of expansions in multiple Fourier series and in Fourier integrals with ``lacunary sequences of partial sums ⋮ Equiconvergence of expansions in multiple trigonometric Fourier series and integrals in the case of a lacunary sequence of partial sums




Cites Work

  • On limits of sequences of operators
  • Convergence almost everywhere of certain singular integrals and multiple Fourier series
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