Abstract
Let A be a subset of 
, and let R be a set of large Fourier coefficients of the set A. The question on the structure of R is related to inverse problems of additive number theory. Properties of R were studied by Chang, Green, and this author. The present paper is concerned with new results on sets of large Fourier coefficients. In addition, examples demonstrating the definitive character of earlier results are presented.
Bibliography: 27 titles.