Application of the Weil representation: diagonalization of the discrete Fourier transform

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dc.creatorGurevich, SHamgar
dc.creatorHadani, Ronny
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:34Z
dc.date.available2026-07-07T12:37:34Z
dc.descriptionWe survey a new application of the Weil representation to construct a canonical basis of eigenvectors for the discrete Fourier transform (DFT). The transition matrix from the standard basis to the canonical basis defines a novel transform which we call the discrete oscillator transform (DOT for short). In addition, we describe a fast algorithm for computing the DOT in certain cases.
dc.descriptionTo appear in the Proceedings of the Sixth Workshop on Lie Theory and Geometry, Cordoba, November 13 - 17, 2007 (Editors: C. S. Gordon, F. Grunewald, C. Olmos, J. A. Tirao, J. A. Wolf). Key word: Discrete Fourier transform; Weil representation; Canonical eigenvectors; Oscillator transform; Fast oscillator transform
dc.identifierhttps://arxiv.org/abs/0902.0668
dc.identifierhttp://arxiv.org/abs/0902.0668
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218484
dc.subjectInformation Theory
dc.subjectDiscrete Mathematics
dc.subjectRepresentation Theory
dc.titleApplication of the Weil representation: diagonalization of the discrete Fourier transform
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