Gap Theorem for Separated Sequences without Pain

2015/09/03 by Baranov, Anton, Belov, Yurii, Ulanovskii, Alexander
#42A38 #42A65 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1509.01030

Abstract

We give a simple and straightforward proof of the Gap Theorem for separated sequences by A. Poltoratski and M. Mitkovski using the Beurling--Malliavin formula for the radius of completeness.

Related

• Minimal gap for higher dimensional sequences
• The metric theory of small gaps for a sequence of real numbers
• Gap between the largest and smallest parts of partitions and Berkovich and Uncu's conjectures
• Gap sequences and Topological properties of Bedford-McMullen sets
• Moment conditions for the asymptotic completeness of iid gap sequences