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The finite harmonic oscillator and its associated sequences

Published 10 Aug 2008 in cs.IT, cs.CR, cs.DM, math-ph, math.GR, math.IT, math.MP, math.NT, math.PR, math.QA, math.RT, math.SG, and quant-ph | (0808.1417v2)

Abstract: 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. Keywords: Weil representation, commutative subgroups, eigenfunctions, random behavior, deterministic construction

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