Spectral synthesis for exponentials and logarithmic length
Journal article, Peer reviewed
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3139388Utgivelsesdato
2022Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2486]
- Publikasjoner fra CRIStin - NTNU [38484]
Sammendrag
We study hereditary completeness of systems of exponentials on an interval such that the corresponding generating function G is small outside of
a lacunary sequence of intervals Ik. We show that, under some technical conditions, an exponential system is hereditarily complete if and only
if the logarithmic length of the union of these intervals is infinite, i.e.,
k Ik dx 1+|x| = ∞.