A generalization of the Beurling--Malliavin Majorant theorem

Abstract

In this article we prove a generalization of the Beurling--Malliavin Majorant Theorem. In more detail, we establish a new sufficient condition for a function to be a Beurling--Malliavin Majorant. Our result is strictly more general than that of the Beurling--Malliavin Majorant Theorem. We also show that our result is sharp in a number senses.

A slight inaccuracy corrected. This caused a modification of the main result. 16 pages, 2 figures. To appear in the journal Analysis & PDE. ( https://msp.org/soon/coming.php?jpath=apde )

References in corpus (2)

• Spectral gaps without the pressure condition
• A higher dimensional Bourgain-Dyatlov fractal uncertainty principle

Cited by in corpus (1)

• The Beurling and Malliavin Theorem in Several Dimensions