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

Resumo

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.