Abstract
Let be a closed and discrete set. The vector space consisting of all trigonometric sums whose frequencies belong to is denoted by . Given an exponent we say that is -coherent if there exist a compact set and a continuous function defined on with values in such that for every and every one has . Several properties of -coherent sets are proved in this essay.
Citation
Yves Meyer. "Trigonometric series with a given spectrum." Tunisian J. Math. 2 (4) 881 - 906, 2020. https://doi.org/10.2140/tunis.2020.2.881
Information