The finite harmonic oscillator and its associated sequences

Shamgar Gurevich*, Ronny Hadani, Nir Sochen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


A system of functions (signals) on the finite line, called the oscillator system, is described and studied. Applications of this system for discrete radar and digital communication theory are explained.

Original languageEnglish
Pages (from-to)9869-9873
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number29
StatePublished - 22 Jul 2008


  • Commutative subgroups
  • Deterministic construction
  • Eigenfunctions
  • Random behavior
  • Weil representation


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