Equiconvergence of expansions in multiple trigonometric Fourier series and Fourier integral with "Jk-lacunary sequences of rectangular partial sums"

Authors

  • Igor L. Bloshanskii Department of Mathematical Analysis and Geometry, Moscow State Regional University, 105005 Moscow, 10a Radio Street
  • Denis A. Grafov Department of Mathematical Analysis and Geometry, Moscow State Regional University, 105005 Moscow, 10a Radio Street

DOI:

https://doi.org/10.12697/ACUTM.2014.18.08

Keywords:

multiple trigonometric Fourier series, multiple Fourier integral, convergence almost everywhere, lacunary sequence

Abstract

We give a review of recent results on equiconvergence of expansions in multiple trigonometric Fourier series and Fourier integral in the case of summation over rectangles.

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Published

2014-06-25

Issue

Vol. 18 No. 1 (2014)

Section

Articles