Correction Up to a Function with Sparse Spectrum and Uniformly Convergent Fourier Integral for the Group ℝn


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Abstract

This is an ℝn-counterpart of certain considerations on a similar subject for compact Abelian groups exposed by P. Ivanishvili and the author in 2010. The main difference with that paper is that certain notions and results of measure theory should be invoked in the case of ℝn.

About the authors

S. V. Kislyakov

St. Petersburg Department of Steklov Institute of Mathematics

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Email: skis@pdmi.ras.ru
Russian Federation, St. Petersburg

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