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

Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 261)

Abstract

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

Keywords

Uncertainty principle Schwartz function uniqueness theorem spectral gap 

Mathematics Subject Classification (2010)

Primary 42B10 

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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

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