A function with support of finite measure and “small” spectrum

Fedor Nazarov, Alexander Olevskii

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

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

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages389-393
Number of pages5
DOIs
StatePublished - 2018

Publication series

NameOperator Theory: Advances and Applications
Volume261
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Keywords

  • Schwartz function
  • Spectral gap
  • Uncertainty principle
  • Uniqueness theorem

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