This article is cited in 14 papers

On the geometry of measurable sets in $N$-dimensional space on which generalized localization holds for multiple trigonometric Fourier series of functions from $L_p$, $p>1$

I. L. Bloshanskii


Abstract: The precise geometry is found of measurable sets in $N$-dimensional Euclidean space on which generalized localization almost everywhere holds for multiple Fourier series which are rectangularly summable.
Bibliography: 14 titles.

UDC: 517.5

MSC: 42B05

Received: 28.04.1982

 English version: Mathematics of the USSR-Sbornik, 1984, 49:1, 87–109

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