Spectrality and tiling by cylindric domains

Rachel Greenfeld, Nir Lev

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

A bounded set Ω⊂Rd is called a spectral set if the space L2(Ω) admits a complete orthogonal system of exponential functions. We prove that a cylindric set Ω is spectral if and only if its base is a spectral set. A similar characterization is obtained of the cylindric sets which can tile the space by translations.

Original languageEnglish
Pages (from-to)2808-2821
Number of pages14
JournalJournal of Functional Analysis
Volume271
Issue number10
DOIs
StatePublished - 15 Nov 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

  • Fuglede's conjecture
  • Spectral set
  • Tiling

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