In this paper we offer a method for constructing functions with many gaps in their supports and in the supports of their Fourier transform. As a result we answer a question of Benedicks [Ben1] and we ...

This is a preview. Log in through your library . Journal Information Mathematica Scandinavica has been published regularly since 1953. Mathematica Scandinavica is a non-profit company, which is ...

On its surface, the Kakeya conjecture is a simple statement about rotating needles. But it underlies a wealth of mathematics. In mathematics, a simple problem is often not what it seems. Earlier this ...