Spectrality and tiling by cylindric domains

Rachel Greenfeld, Nir Lev

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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
Issue number10
StatePublished - 15 Nov 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.


  • Fuglede's conjecture
  • Spectral set
  • Tiling


Dive into the research topics of 'Spectrality and tiling by cylindric domains'. Together they form a unique fingerprint.

Cite this