A Function with Support of Finite Measure and “Small” Spectrum

  • Fedor Nazarov
  • Alexander Olevskii
Part of the Operator Theory: Advances and Applications book series (OT, volume 261)


We give a simple construction of a function on ℝ supported on a set of finite measure whose spectrum has density zero.


Uncertainty principle Schwartz function uniqueness theorem spectral gap 

Mathematics Subject Classification (2010)

Primary 42B10 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsKent State UniversityKentUSA
  2. 2.School of Mathematical SciencesTel Aviv UniversityTel AvivIsrael

Personalised recommendations